Theoretical analysis and
implementation on QKD with the decoy-state method
Masahito Hayashi
Japan Science and
Technology Agency
Our project demonstrated an
improved decoy state quantum key distribution incorporating finite statistics
due to the finite code length and report on its demonstration. For this
purpose, we implemented key distillation system as well as quantum
communication system equiped with weak coherent pulses with variable
intensities. Further, in order to keep its security, we consider the following
three problems.
1)
Security of known channel with finite-length code and imperfect resources:
Security formulas of quantum key distribution (QKD) with imperfect resources
are obtained for finite-length code when the decoy method is applied. This
analysis is useful for guaranteeing the security of implemented QKD systems.
Our formulas take into account the effect of the vacuum state and dark counts
in the detector. Our security is proved even if we use the threshold detector.
2)
Asymptotic key generation formulas in decoy-state method with arbitrary number
of intensities: We developed a general theory for quantum key distribution
(QKD) in both the forward error correction and the reverse error correction
cases when the QKD system is equipped with phase-randomized coherent light with
arbitrary number of decoy intensities. For this purpose, generalizing Wang's
expansion, we derive a convex expansion of the phase-randomized coherent state.
We also numerically check that the asymptotic key generation rates are almost
saturated when the number of decoy intensities is three. (If we include signal
state, the number of intensities is four.)
3)
Security of unknown channel with finite-length code and imperfect resources
incorporating finite statistics: In this part, we described all random
variables appearing our QKD system, and numerically evaluated the security by
taking into account the statistical fluctuation of estimator of channel.
Moreover, in our experiment, four different intensities including the vacuum
state and the
signal
state for optimal pulses are used and the key generation rate of 200 bps is
achieved in the 20 km telecom optical fiber transmission keeping the
eavesdropper's mutual information with the final key less than 2^{-9}.
This
talk contains joint research with Jun Hasegawa, Tohya Hiroshima, Akihiro
Tanaka, and Akihisa Tomita.
References
Masahito
Hayashi, "Upper bounds of eavesdropper's performances in finite-length
code with decoy method," quant-ph/0702250; To appear in PRA
Masahito
Hayashi "General theory for decoy-state quantum key distribution with
arbitrary number of intensities," quant-ph/0702251
Jun
Hasegawa, Masahito Hayashi, Tohya Hiroshima, Akihiro Tanaka, Akihisa Tomita
"Experimental Decoy State Quantum Key Distribution with Unconditional
Security Incorporating
Finite
Statistics," quant-ph/0705.3081
Jun
Hasegawa, Masahito Hayashi, Tohya Hiroshima, Akihisa Tomita in preparation.
Quantum Key Distribution
Using Quantum Faraday Rotators
Mahn-Soo Choi and
Taeseung Choi
Korea University
We propose a
new quantum key distribution protocol based on the fullyquantum mechanical
states of the Faraday rotators. The protocol is unconditionally secure
against collective attacks for multi-photon source up to two photons on a noisy
environment. It is also robust against impersonation attacks. The
protocol may be implemented experimentally with the current spintronics
technology on semiconductors.
Quest for the
experimental evidence of the working principle of Kane's Quantum computer model
Soonchil Lee
Department of Physics, Korea
Advanced Institute of Science and Technology
One of the
best practical quantum computer designs reported so far is the system
consisting of phosphorus atoms regularly spaced inside silicon crystal as
proposed by B. Kane. The hyperfine interaction between the nuclear spin and the
electron spin of the donor, and the indirect exchange interaction between donor
nuclear spins can be controlled by electric field realizing one and two-qubit
operations, respectively. Experimental demonstration, however, has not been
done yet, since the technologies required for manufacturing of the device and
detection of single spin state are not fully developed yet. We plan to get the
experimental evidence of the electric control of hyperfine field by NMR. The
first part of the experiment is to observe P NMR signal, which has not been
observed yet. The second part of the experiment is show that the hyperfine
interaction can be controlled by external electric field. An external electric
field will push away the electron wave function of the donor atom from the
nucleus position. Then, it is expected that NMR resonance frequency of the
donor nucleus decreases due to the reduced hyperfine interaction.
Remote application of operators
Nguyen Ba An
Institute of Physics,
Vietnam and
Korea Institute for
Advanced Study, Korea
Alice and Bob
are two distant parties. We deal with remote application on Bob's arbitrary
quantum state of an operator which is immersed in a lump operator given to
Alice. For such kind of task the usual method of bidirectional quantum state
teleportation does not help. Shared EPR pairs with entanglement swapping do not
either. We show however that the task can be performed using a GHZ state shared
between Alice and Bob. We also propose a quantum scheme to control the task by
a number of third parties based on sharing a multipartite GHZ state.
What can we do with
entangled photons?
Sang-Kyung Choi
Korea Research Institute
of Standards and Science
A brief
introduction covers the concept of entanglement in the context of photonic
quantum information. The process of spontaneous parametric down-conversion
(SPDC) is shown to be a practical method for generating an entangled pair of
photons. Furthermore SPDC in conjunction with interferometry can generate
entanglement of a higher number of photons. Such multiphoton entanglement can
be applied to demonstrations of quantum computation and quantum lithography.
Strongly correlated photon pairs can also find potential applications in
quantum metrology.
Teleportation
capability, distillability, and nonlocality
on three-qubit states
Soojoon Lee
Department of
Mathematics, Kyung Hee University
In this work,
we consider teleportation capability, distillability, and nonlocality on
three-qubit states. In order to investigate some relations among them, we first
find the explicit formulas of the quantities about the maximal teleportation
fidelity on three-qubit states. We show that if any three-qubit state is useful
for three-qubit teleportation then the three-qubit state is distillable into a
Greenberger-Horne-Zeilinger state, and that if any three-qubit state violates a
specific form of Mermin inequality then the three-qubit state is useful for
three-qubit teleportation.
This
is a joint work with Jaewoo Joo and Jaewan Kim
Many-qubit
interactions in superconducting flux qubits
Sam Young Cho
Centre for Modern
Physics and Department of Physics, Chongqing University, Chongqing 400044, The
People¡¯s Republic of China
The last decade has seen rapidly developing
advanced material technologies that make it possible to investigate previously
inaccessible quantum systems for quantum information and computation in
solid-state systems. Especially, coherent manipulation of quantum states in
tunable superconducting devices has enabled to demonstrate macroscopic qubits and
entangled states of qubits. Experimentally, it has been shown that, in terms of
pseudo-spins, various types of exchange interactions between two
artificial-spins such as an Ising interaction for charge qubits and flux qubits
and an XY interaction for phase qubits, can be realized and controlled by the
system parameters. We discuss, in a general framework, how artificial-multiple
spin interactions are possible and realizable in superconducting qubit systems.
In fact, flux qubit systems are shown to have an intrinsic property which is
multiple artificial-spin interactions. Accordingly, flux qubit systems enable
to study various artificial-spin systems corresponding to many-body systems
unlikely found naturally. Examples are discussed to include artificial spin
interactions in two-flux qubit systems and multiple-artificial spin
interactions in four-flux qubit system.
[1] S. Y. Cho and M. D. Kim, arXiv:cond-mat/0703505 (2007).
[2] M. D. Kim and S. Y. Cho, arXiv:0705.399
[cond-mat.super-con] (2007).
[3] Q. Q. Shi, S. Y. Cho, B. Li, and M. D. Kim,
arXiv:0706.2402 [cond-mat.mes-hall] (2007).
Acknowledgements: This work was supported in part by the
Australian Research Council.
Building
higher-dimensional photonic quantum states and entanglement: A bottom-up
approach
Yoon-Ho Kim
Department of Physics,
Pohang University of Science and Technology
Two-dimensional
quantum states and their entanglement (i.e., qubits and entangled qubits) have
long been important in quantum information research. Recently,
higher-dimensional quantum states and their entanglement (i.e., quDits and
entangled quDits) have been found to
be
important for better understanding the nature of quantum entanglement and in
several areas of quantum information research.
In
photonic quantum information research, qubits are almost always implemented
using the polarization states of a photon, even though choosing another
two-dimensional photonic degree of freedom should make no in-principle
difference. This is due to the fact that the
polarization
state of a photon is much easier to generate, manipulate, and measure than any
other photonic degrees of freedom.
For
higher-dimensional photonic quantum states, the situation has been a bit
different. Degrees of freedom that are difficult to manipulate, such as,
orbital angular momentum, spatial path, etc, have been used to demonstrate
higher-dimensional single- and
entangled-photon
states. Only recently, pure qutrit (three- dimensional) and ququart
(four-dimensional) states based on the polarization degree of freedom has been
reported.
In
this talk, we first discuss why such odd choices have been made for
implementing higher-dimensional photonic quantum states. We then introduce
schemes for generating a general four-dimensional photonic quantum state
(ququart) using the polarization state of a pair of
photons
and discuss how one can entangle two such ququarts linear optically.
Unlike
other higher-dimensional two-photon entanglement schemes, the state is built
bottom-up in the proposed method: ququart states are built using pairs of
photons and these ququarts get entangled linear optically (modulo coincidence
post-selection). Potential benefits of the bottom-up approach to quantum state
generation will be discussed and an on-going experiment in our laboratory to
implement the proposal will be presented.
Generating new
mesoscopic object via conditional measurement and its properties
Sergey A. Podoshvedov1, Jaewan Kim1,
Juhui Lee2 and Sung Dahm Oh2
1School of
Computational Sciences, Korea Institute for Advanced Study, Seoul, Korea
2Department of
Physics, Sookmyung Women¡¯s University, Seoul, South Korea
We propose a
scheme for generating Schrodinger cat states of a single-mode optical field by
means of conditional measurement. Combining one mode prepared in a state of a
single-mode qubit and another mode in a coherent state, the state of one of the
output modes of the beam splitter exhibits a number of properties similar to
those of superposition of displaced vacuum and single photon, provided that no
photons are detected in the other output channel. We present analytical and
numerical results concerning the superposition of macroscopic vacuum and
macroscopic one-photon, with special emphasis on interference properties of the
state. We show the state has both microscopic and macroscopic properties.
Finally, we discuss the effect realistic photocounting on generation of the
state.
Role of quantum noise of
atoms and photons on quantum correlations
Raymond Ooi
Department of Physics,
Korea Advanced Institute of Science and Technology
I present the
physical origin of quantum noise in atom-field interactions based on Heisenberg
operator approach. The approach is used to study photon correlation in extended
medium or amplifier. For a double Raman configuration, I identify the
conditions where the boundary solutions alone give qualitatively correct
two-photon correlation, without the need for quantum noise. However, in general
the quantum noise is required to obtain correct correlation. Physical
significances of the quantum noise and boundary operators are discussed.
Addressing Individual
Atoms in Optical Lattices with Standing-Wave Driving Fields
Jaeyoon Cho
Korea Research Institute
of Standards and Science
A scheme for
addressing individual atoms in one- or two-dimensional optical lattices loaded
with one atom per site is proposed. The scheme is based on position-dependent
atomic population transfer induced by several standing-wave driving fields.
This allows various operations important in quantum information processing,
such as manipulation and measurement of any single atom, two-qubit operations
between any pair of adjacent atoms, and patterned loading of the lattice with
one atom per every nth site for arbitrary n. The proposed scheme is robust
against considerable imperfections and actually within reach of current
technology.
Atomic superposition
state measurements with the Cavity-QED Microlaser
Kyungwon An
School of Physics and
Astronomy, Seoul National University
Quantum
mechanical superposition state of a two-level atom is measured by using the
cavity-QED microlaser as a state detector. It has been found that atoms
initially prepared in various superposition states result in different
frequency shifts and asymmetry in the laser output so that arbitrary initial
superposition states could be identified. In addition, the polarity of the
atom-cavity coupling in the microlaser can be manipulated by employing
high-order cavity modes in order to induce new types of atom-field
interactions. Certain geometrical structures are observed in the lasing gain,
associated with the spatially modulated atom-cavity coupling constant.
Relation between the
degree of the entanglement and the resolution of a quantum interferometer
Taesoo Kim
Department of Physics, University
of Ulsan
It is well
known that maximally entangled states, so called, NOON states, inside the
interferomter lead to the Heisenberg limited precision. We have analyzed the effect of the
partial entanglement in a Mach-Zehnder type quantum interferometer on
sensitivities of the interferometer. The calculation results show that the visibility
of the interference fringe is proportional to the degree of entanglement, and
that the phase uncertainty of the interferometer is inversely proportional to
the degree of entanglement for both a Fock state and a coherent state inputs.
Control of black hole
evaporation?
Doyeol Ahn
Department of Physics, University
of Seoul
Contradiction
between Hawking's semi-classical arguments and string theory on the evaporation
of black hole has been one of the most intriguing problems in fundamental
physics. A final-state boundary condition inside the black hole was proposed by
Horowitz and Maldacena to resolve this contradiction. The Horowitz and
Maldacena conjecture on the black hole final state is proven for the Schwarzschild
black with collapsing gravitaional shell. I also point out that original
Hawking effect can be also regarded as a separate boundary condition at the
event horizon for this scenario. Here, I found that the change of Hawking
boundary condition may affect the information transfer from the initial
collapsing matter to the outgoing Hawking radiation during evaporation process
and as a result the evaporation process itself, significantly.
Entanglement generation
between stationary qubits separated by a remote distance
Hyuk Jae Lee
Department of Physics,
Kookmin University
It is very
important to make the entangled state of spatially separated qubits for the
scalable quantum computer. We present how to entangle the qubits which are
apart with each others. Controlling the interaction time with a auxiliary
moving particle, two remote particles prepared initially by the separable state
become the maximally entangled state. This suggest the XOR gate for remote
particles. Furthermore, we show
that the N-qubit prepared initially by the separable state can become the
W-state from the same interaction as the two-qubit case.
Device and System
Technologies for Quantum Information Processing
Jungsang Kim
FCIEMAS, ECE Department,
Duke University, Durham, NC 27708, USA
Quantum
information processing is moving rapidly from fundamental science to the
practical world. The most significant example is quantum key distribution
technology, where commercial grade field trials have successfully been
completed. High performance single photon sources and detectors remain to be
bottleneck for improving system performance. Engineering approach to quantum
computers are necessary to take the next step in demonstrating the feasible
path to scalability. I will discuss some of the recent developments in hardware
technology and architectural concepts for a quantum information processor.
Coupling to environment:
Atoms in electromagnetic field
Jae-Seung Lee
Department of Chemistry,
Kent State University, USA
The
problem of spontaneous emission has been studied on a combined system of an
atom and radiation field. The dynamics has been numerically calculated by the
direct diagonalization of the Hamiltonian for the system with up to 15000 field
oscillators. The parameters of the discrete finite model were optimized by
comparing results with the exact solution when the oscillators have equidistant
frequencies and equal coupling constants. We can addresse some problems too
complex for analytical treatment with this numerical approach, which involve
perturbation by a train of composite laser pulses and emission by multi-atom
systems.
Application of Quantum
Cellular Automata in Quantum Information: A Brief Introduction
Young Soon Kim
Department of Physics,
Myongji University, Korea
Cellular
automata will be defined with illustrative examples. Some
quantum cellular automation rules will be introduced to demonstrate
that desired quantum states can be generated in a simple one-dimensional
array of qubits utilizing the notion of quantum cellular automata.
Storage of spin
squeezing in a two component BEC
Sang Wook Kim
Department of Physic
Education, Pusan National University
We have
investigated the coherent control of spin squeezing of two component
Bose-Einstein condensates (TBEC) focusing on long time maintenance of the spin
squeezing. We find that by rapidly turning off the external field at a time
when the maximal squeezing occurs in the TBEC the spin squeezing can be
maintained in a nearly fixed direction for very long time. We explain the
underlying physics by using phase model, and provide analytic expressions for
the maximal squeezing time and the corresponding squeezing parameter.
Finite States
Teleportation and Quantum Repeater for QKD
Jae-Weon Lee
School of Computational
Sciences, Korea Institute for Advanced Study
Although
there are already many practical QKD protocols such as the decoy state
protocol, the maximum distance of conventional QKD systems is limited to about 200
km by photon absorption. On the other hand, building a quantum repeater for
global QKD is a very challenging task. Fortunately, for QKD purposes, it is not
necessary to teleport an arbitrary qubit state. Teleporting a state among a
finite set is enough for QKD. We suggest a quantum repeater that teleports only
finite states and hence requires less quantum resources. We compare required entanglements
for teleportation of arbitrary states with that of finite states. A QKD project
done by ETRI-KIAS-Korea university is also reviewed.
Helstrom Theorem by
No-Signalling Condition
Won-Young Hwang
Department of Physics
Education, Chonnam National University
We prove a
special case of Helstrom theorem by using no-signaling condition in the special
theory of relativity that faster-than-light communication is impossible.
Asymptotic quantum
cloning is state estimation
Joonwoo Bae
School of Computational
Sciences, Korea Institute for Advanced Study
The
impossibility of perfect cloning and state estimation are two fundamental
results in Quantum Mechanics. It has been conjectured that quantum cloning
becomes equivalent to state estimation in the asymptotic regime where the
number of clones tends to infinity. We prove this conjecture using two known
results of Quantum Information Theory: the monogamy of quantum correlations and
the properties of entanglement breaking channels.
Do the homework of
quantum mechanics with quantum computers
Sangchul Oh
Max Planck Institute for
the Physics of Complex Systems, Noethnitzer Str. 38, D-01187, Dresden, Germany
Quantum
simulation is one of the most promising applications of quantum computers. It
has been believed that a quantum computer can simulate a quantum system better
than a classical computer because a quantum computer itself is a quantum system
[1]. However, it seems to be unclear how to simulate an interacting quantum
system and to obtain its physical properties with quantum computers. In this
talk, we present a new method to obtain the ground state energy and expectation
values of interacting quantum systems with quantum computers. Our method is
based on the combination of adiabatic quantum evolution and quantum phase
estimation algorithm. Adiabatic turning on the interaction makes the ground
state of a non-interacting system evolve to the ground state of an interacting
system. By applying the quantum phase estimation algorithm, the phase of an
evolving quantum system can be measured continuously without collapse of a
quantum state. So the ground energy of an interacting system can be obtained as
a function of coupling strength. With the help of the Hellman-Feyman theorem,
the expectation value of an observable for the ground state of an interacting
system is obtained. As real applications of our method, we solve three problems
of quantum mechanics by implementing our method on a classical computer. First,
we consider the one-dimensional finite XY spin model. From the paramagnetic
ground state, we obtain the ferromagnetic ground state and its spin correlation
functions. Second, we study a harmonic oscillator with the quartic term, for
which the usual perturbation theory cannot be applied. With several qubits, our
method gives us very precise energy spectrum in agreement with Bender and Wu's result
[2]. Finally, we study the one-dimensional potential scattering model. This can
be solved exactly but the conventional perturbation theory breaks down. We
obtain the energy spectrum and the bound state for attractive potential in
agreement with the exact result [3]. We note that our method is similar to
quantum Monte Carlo methods. But it does not suffer from the sign problem which
the quantum Monte Carlo method has. We also discuss how our method can be
applied to other quantum many-body systems such as lattice fermions and bosons,
atoms, and molecules.
[1]
R.P. Feynman, Int. J. Theor. Phys. 21, 467 (1982); Found. Phys. 16, 507 (1986).
[2]
C.M. Bender and T.T. Wu, Phys. Rev.
184, 1231 (1969).
[3]
S. Kehrein, ``The Flow Equation Approach to Many-Particle Systems"
(Springer-Verlag, Berlin,
2006).
Complementarity and nonlocality
test in electronic Mach-Zehnder interferometers
Kicheon Kang
Chonnam National
University, Korea
Entanglements in superconducting
flux qubits
Mun Dae Kim
School of Physics, Korea
Institute for Advanced Study, Korea
Superconducting flux qubits are considered
theoretically in order to generate the quantum entanglement. A phase coupling
is proposed in a way of superconducting loops connecting the qubits, which can offer
enough strength of interactions between qubits. For two coupled flux qubits,
Bell states are obtained at the ground and excited states of the coupled qubits
system, as the energy levels are split
and the two qubit tunnelling channel is opened due to the strong
coupling strength. We also investigate two types of genuine three-qubit entanglement,
known as the Greenberger-Horne-Zeilinger (GHZ) and W states. While an excited
state can be the W state, the ground state of the three-flux qubits is shown to
be the GHZ state. Specific ranges of system parameters are discussed to realize
the GHZ state and the W state experimentally.
Incompatibility between
Self-Observing Consciousness and the Axioms of Quantum theory
Daegene Song
School of Computational
Sciences, Korea Institute for Advanced Study, Korea
Based on the
standard axioms of quantum theory, we provide a counter-example which
invalidates the full compatibility between consciousness and quantum theory. In
particular, we present an example of a natural phenomenon where the conscious
status of an observer can be fully described in mathematical terms analogous to
the state vector that is being observed without relying on any analysis through
a brain or biological means. This mathematical description of the observer's
conscious state enables one to examine consciousness within the standard axioms
of quantum theory. The separation between the observing party and the physical
system being observed, imposed in the axiom of quantum theory, poses a problem
when the observer is observing one's own conscious state, i.e., self-observing
consciousness.
Which-path detection in
a closed-loop Aharonov-Bohm interferometer
Yunchul Chung1, Dong-In
Chang2, Gyong Luck Khym3, Kicheon Kang3, Hu-Jong Lee2, Minky
Seo1, Diana Mahalu4, Vladimir Umansky4,
Moty Heiblum4
1Department of
Physics, Pusan National University, Korea
2Department of
Physics, Pohang University of Science and Technology, Korea
3Department of
Physics, Chonnam National University, Korea
4Department of
Condensed Matter Physics, Weizmann Institute of Science, Rehovot, Israel
The
wave-particle duality of electrons was tested in a closed-loop-type Aharonov-Bohm
interferometer fabricated on GaAs/AlGaAs heterojunction two-dimensional
electron gas system. The which-path electron detector consisted of a
quantum-dot (QD) structure imbedded in one arm of the interferometer and a
quantum point contact (QPC) located in proximity to the QD. The quantum point
contact coupled to the quantum dot detects the presence of the charge inside
the quantum dot to give the path information of the electron inside the
interferometer. The which-path detection is inevitably coupled to the
interferometer and the environments, leading to dephasing in the traversing
electron state. This thus results in the suppression of the interference of
conducting electrons, the manifestation of a wave nature of the particles.. In
this work, observation similar to the one using an open-loop-type electron
interferometer [1] was carried out in a closed-loop-type electron
interferometer to obtain more detailed information on the dephasing mechanism
and its origin. Especiallly, dephasing of electrons circulating multiple times
inside the interferometer was studied in depth. This study confirms that the
which-path detection is the real cause of the dephasing.
[1]
E. Buks, R. Schuster, M. Heiblum, D. Mahalu and V. Umansky, Nature 391, 871
(1998)
Relative particle nature and nonclassicality of light
Ki-Sik Kim
Inha University, Korea
Engineering nonclssical
light for quantum information processing
Hyunseok Jeong
Centre for Quantum
Computer Technology, Department of Physics, University of Queensland, Brisbane,
Australia
I will
present several schemes to engineer non-classical states in free-traveling
optical fields, which are useful for quantum information processing, using
experimentally available resources. In particular, I will describe a protocol
which allows to produce Schrodinger cat states (quantum superpositions of
macroscopically distinguishable coherent states) in free-traveling optical
fields, using a homodyne detection and photon number states as resources. This
protocol was experimentally implemented with light pulses containing two
photons, producing squeezed Schrodinger cat states with a negative Wigner
function.
Entanglement generation
via beam splitter and its detection
Hyunchul Nha
School of Computational
Sciences, Korea Institute for Advanced Study, Korea
Two-mode
entangled states can be generated by injecting a single-mode
"nonclassical" state into a beam splitter, but in general, it is a
hard task to determine whether a two-mode state is entangled or separable. In
this talk, I will show how to derive a generalized class of separability
conditions that can detect entanglement generated via a beam splitter using the
previously known nonclassical states. These nonclassical properties include (1)
quadrature squeezing and higher-order squeezing, and (2) sub-Poissonian and
higher-order photon-number statistics.
POSTER SESSION
1)
¡°Theoretical analysis and implementation on QKD with the decoy-state method¡±
by Masahito
Hayashi
(Japan
Science and Technology Agency, Japan)
2)
¡°Nonclassical properties of photon-added and photon-subtracted states¡±
by Su-Yong
Lee (KAIST, Korea)
3)
¡°Thoery of single and two modes superposition states consisting from
macroscopic to microscopic states¡±
by Juhui Lee (Sookmyung
Women¡¯s University, Seoul, South Korea)
4)
¡°The role of entanglement in quantum lithography ¡±
by Sun-Kyung Lee (KAIST,
Korea)
5)
¡°Generating entangled states of two ququarts using linear optical elements¡± by So-Young
Baek (POSTECH, Korea)
6)
¡°Preparation of general single-ququart states using ultrafast spontaneous
parametric down-conversion¡± by So-Young Baek (POSTECH, Korea)
7)
¡°Group velocity dispersion effect on entangled photon transmission through
optical fibers¡± by
Osung Kwon (POSTECH,
Korea)
8)
¡°Free-space quantum cryptography testbed : Weak pulse implementations of BB84
and B92 protocols¡± by
Youn-Chang Jeong (POSTECH, Korea)