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International Symposium on Information Theory and its Applications

Quasi-optimum Quantum Receiver for Binary Squeezed-state Signal

Kouichi Yamazaki

Published Jan 1, 1994• 0 citations
OpenAlex

Abstract

Construction method of an optical receiver is proposed for binary squeezed state signal, which has substantially lower noise properties than a conventional coherent state signal. The receiver can extract most of the performance of a squeezed light. Condition of optimum degree of squeezing are given to the proposed receivers for a binary phase-shift-keyed (BPSK) and an amplitude shift keyed (ASK) signals, respectively. It is also shown that the concept of this receiver can be applied for signals in any other quantum state which is generated from a coherent state by a unitary transformation.

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Construction method of an optical receiver is proposed for binary squeezed state signal, which has substantially lower noise properties than a conventional coherent state signal. The receiver can extract most of the performance of a squeezed light. Condition of optimum degree of squeezing are given to the proposed receivers for a binary phase-shift-keyed (BPSK) and an amplitude shift keyed (ASK) signals, respectively. It is also shown that the concept of this receiver can be applied for signals in any other quantum state which is generated from a coherent state by a unitary transformation.
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.
The mathematical structure of the quantum-optimum detection operators for optical signals is derived, and approximated in a three-dimensional number-state basis for the case of weak optical signals. It is shown that mathematical rotation of the received signal-states in Hilbert-space approaches the quantum-optimum detection performance for optical signals such as On-Off Keying (OOK), BPSK (binary phase-shift keying), and binary Pulse Position Modulation (2-PPM) signaling formats originating from interplanetary or even greater interstellar distances. The approximate three-dimensional number-state model is interpreted to help identify the physical operations required to implement the quantum-optimum receiver with well-known field-preparation and signal-processing techniques for these three modulation formats. Graphs demonstrating the practical performance of receivers approximated by three-dimensional detection operators are evaluated, and compared with the theoretical limit on ideal receiver performance dictated by the laws of quantum mechanics.
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.
A squeezed-displaced state can be used as an optical signal for efficient binary quantum optical communication. Here, we consider quantum optical communication where an atomic indirect measurement is used to decide the message encoded in a binary phase-shift-keying signal composed of squeezed-displaced states, and show that the incorrect decision probability of an atomic indirect measurement can be less than that of a homodyne measurement. We further show that an atomic indirect measurement can lower the incorrect decision probability even when the quantum channel is exposed to weak phase-diffusion noise.