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Journal of Optics B Quantum and Semiclassical Optics

Cut-off rate performance of quantum communication channels with symmetric signal states

Masashi Ban, Keiko Kurokawa, Osamu Hirota

Published Jan 1, 1999• 14 citations
Publisher

Abstract

The cut-off rate performance of quantum communication channels is considered when the signal quantum states are pure and symmetric. The properties of the quantum cut-off rate which is obtained by the entangled measurement of the received signal are investigated for communication channels in which the symmetric quantum states are both linearly independent and linearly dependent. It is found that the quantum cut-off rate becomes independent of the number of the signal quantum states when they are linearly dependent. Furthermore the properties of the semiclassical cut-off rate which is obtained by the disentangled measurement of the received signal are considered. The necessary and sufficient condition for the positive operator-valued measure of the disentangled measurement to maximize the semiclassical cut-off rate is derived. For binary quantum communication channels with pure signal states, the several parameters, such as the channel capacity and the cut-off rate, which characterize the quantum communication channel are compared.

DOI
10.1088/1464-4266/1/2/003

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The cut-off rate performance of quantum communication channels is considered when the signal quantum states are pure and symmetric. The properties of the quantum cut-off rate which is obtained by the entangled measurement of the received signal are investigated for communication channels in which the symmetric quantum states are both linearly independent and linearly dependent. It is found that the quantum cut-off rate becomes independent of the number of the signal quantum states when they are linearly dependent. Furthermore the properties of the semiclassical cut-off rate which is obtained by the disentangled measurement of the received signal are considered. The necessary and sufficient condition for the positive operator-valued measure of the disentangled measurement to maximize the semiclassical cut-off rate is derived. For binary quantum communication channels with pure signal states, the several parameters, such as the channel capacity and the cut-off rate, which characterize the quantum communication channel are compared.
The fundamental performance limits and channel capacity of optical communications systems operating over the free space channel will be examined using quantum detection theory. The performance of the optimum quantum receiver for on-off keying (OOK) and optical binary phase shift keying (BPSK) is first examined as a pure state (no noise) problem. The classical capacity of the binary symmetric channel for these two modulation schemes is then evaluated for the optimum quantum receiver by making use of the concept of quantum measurement states. The performance of M-ary pulse position modulation, which requires a product state representation, is evaluated along with the performance of certain 'dense signal sets.' Performance comparisons with classical techniques shows over 5 dB improvement in some cases when quantum detection is employed. As a further application of the quantum detection theory, the capacity of the binary channel with on-off keyed modulation and quantum detection is evaluated, and shown to exceed the capacity obtained with classical photon counting.
The fundamental performance limits and channel capacity of optical communications systems operating over the free-space channel will be examined using quantum detection theory. The performance of the optimum quantum receiver for on{ofi keying and optical binary phase-shift keying is flrst examined as a pure-state (no-noise) problem. The classical capacity of the binary symmetric channel for these two modulation schemes will be evaluated for the optimum quantum receiver by making use of the concept of quantum measurement states. The performance of M-ary pulse-position modulation, which requires a product state representation, will be evaluated along with the performance of certain dense signal sets. Performance comparisons with classical techniques show an improvement of over 5 dB in some cases when quantum detection is employed. As a further application of the quantum detection theory, the capacity of the binary channel with on{ofi keyed modulation and quantum detection is evaluated and shown to exceed the capacity obtained with classical photon counting.
Quantum communication with binary nonorthogonal pure states and single-shot measurements are discussed in terms of reliability function and cut-off rate. It is shown that some of different measurement strategies simultaneously attain the maximum single-shot cut-off rate. We also apply these measurements to the BPSK optical coherent states and compare them with the homodyne detection. Numerical results show that even including realistic imperfections, it is possible to exceed the homodyne limited cut-off rate.
The fundamental performance limits and channel capacity of optical commu-nications systems operating over the free-space channel will be examined using quantum detection theory. The performance of the optimum quantum receiver for on{ofi keying and optical binary phase-shift keying is flrst examined as a pure-state (no-noise) problem. The classical capacity of the binary symmetric channel for these two modulation schemes will be evaluated for the optimum quantum receiver by making use of the concept of quantum measurement states. The performance of M-ary pulse-position modulation, which requires a product state representation, will be evaluated along with the performance of certain dense signal sets. Perfor-mance comparisons with classical techniques show an improvement of over 5 dB in some cases when quantum detection is employed. As a further application of the quantum detection theory, the capacity of the binary channel with on{ofi keyed modulation and quantum detection is evaluated and shown to exceed the capacity obtained with classical photon counting. I.
The possibility is explicitly shown that the average probability of error is reduced and the transmission rate of information is enhanced by means of entangled input states to a communication channel. When two senders transmit some information to a receiver, they encode the information in the quadrature amplitudes of both modes of a two-mode squeezed vacuum state. The receiver performs a simultaneous measurement of the two quadrature amplitudes of the received two-mode state. In this case, if the average value of the photon number supplied to the communication system is not so small, the average probability of error becomes smaller than that of the communication system without entanglement. Furthermore, the transmission rate of information becomes larger than the quantum capacity of classical information of the communication system without entanglement.