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International Conference on Wireless Communications and Signal Processing (WCSP)

Detection scheme for quantum multiple access channel with noisy coherent state

Shengmei Zhao, Feng Gao, Xiaoliang Dong, Baoyu Zheng

Published Oct 1, 2010• 1 citation
Publisher

Abstract

Quantum detection techniques based on multi-access quantum channel promise efficient quantum optimal solutions to quantum multi-user detection. "Discrete coherent state"(DCS) approximation method is a practical model for solving the mixed-state detection problem. Generally, the input states are pure states, while the output states are turned out to be mixed states corrupted by the noise in quantum channel. In this paper, we consider the detection scheme with DCS approximation in a quantum multiple access channel. We deduce the error probability of symbol rate of the detection algorithm with DCS detection scheme in multi-user detection fashion. By numerical simulations, we analyze and compare the performance of this detection scheme with different degree approximation. It is shown that this detection scheme is available for the quantum multi-user detection. For a normal noise, say jV=0.1, we will get the 10-3when number of photons Ns go to 18.

DOI
10.1109/wcsp.2010.5633579

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Quantum detection techniques based on multi-access quantum channel promise efficient quantum optimal solutions to quantum multi-user detection. "Discrete coherent state"(DCS) approximation method is a practical model for solving the mixed-state detection problem. Generally, the input states are pure states, while the output states are turned out to be mixed states corrupted by the noise in quantum channel. In this paper, we consider the detection scheme with DCS approximation in a quantum multiple access channel. We deduce the error probability of symbol rate of the detection algorithm with DCS detection scheme in multi-user detection fashion. By numerical simulations, we analyze and compare the performance of this detection scheme with different degree approximation. It is shown that this detection scheme is available for the quantum multi-user detection. For a normal noise, say jV=0.1, we will get the 10-3when number of photons Ns go to 18.
Multi-user detection (MUD) techniques will be adopted in the future wired and wireless communication system. It is known that quantum detection techniques promise efficient optimal solutions to this NP (non-polynomial) hard problem in classical domain. "Discrete coherent state"(DCS) approximation method is a practical model for solving the mixed-state detection problem. In this paper, we use DCS approximation model for the MUD problem. For a noisy quantum channel, it is feasible to consider the output states are mixed states, which are the input pure states corrupted by the noise when the pure states pass thought the noisy quantum channel. For simplicity and generality, we deduce the error probability of symbol against correlation coefficient in two users' fashion. By numerical simulations, we analyze and compare the performance of this representation. The simulation results show that the detection error will increase while the correlation coefficient increase, and the performance is also effected by the noise level. With less noise, the system will get better performance. The DCS approximation representation is a good detection scheme for quantum multi-user detection.
The quantum multi-user detection technique with quantum detection under quantum multiple-access channel is a promising field in communications, it has promised an efficient solution to the NP hard problem in conventional optimal solution of multi-user detection. In this paper, a solution of multi-user detection in multi-access quantum channel based on the quantum square-root measurement is proposed, by which the minimum square-root probability of error can be gathered, and the probability of symbol error under various correlation coefficients with OOK and PSK modulation is evaluated. Compared with OOK modulation, the performance of PSK modulation can be improved greatly, but with high computation complexity. Then, a threshold algorithm and a new quantum square-root measurement formula are developed to reduce the computation complexity. The numerical experiments show that these methods can lower the complexity greatly.
In this paper, we propose a novel multi-user access in wireless optical communication based on the quantum detection of the coherent state. In this case, the coherent states are used as the signal carrier and a technique of quantum detection is applied to distinguish between signals from different users. To accomplish this task, two main quantum measurement methods are introduced; one is minimum error discrimination (MED), and the other is unambiguous state discrimination (USD). The theoretical derivation implies that the two methods can both distinguish between the signals from different users efficiently when the average photon number is large enough. Typically, the numerical result shows that in the two-user case, the channel capacity will approach the theoretical maximum limit when the average photon number is greater than 2.5 for MED and 5 for USD in the absence of noise. The MED gains more channel capacity than the USD at the same average photon number. However, the USD wins the error-correction scene with its free-error capability. Furthermore, the detection error probability and channel capacity for the USD with the thermal noise are examined. The result shows that increasing the signal average photon number can continue the USD's advantage of error-free detection even if in the presence of thermal noise. In addition, compared with non-orthogonal multiple access (NOMA), the bit error rate (BER) against signal-to-noise rate (SNR) performance of USD has been improved.
Future wired and wireless communication system will employ multi-user detection techniques, however, at this moment there are only suboptimal solutions available because of the rather high complexity of optimal detectors. Quantum detection techniques promise efficient optimal solutions to this NP (non-polynomial) hard problem. In this paper, we propose a novel approach in the multi-access quantum channel based on the quantum rotation algorithm, by which the minimum average probability of error can be obtained. We evaluate the probability of error under various correlation coefficients and signal-to-interference ratio, and compare them to that of classical optimal solution and the quantum solution under quantum Bayesian minimum cost strategy. The simulation results illustrate that the performance of quantum multi-user detection can be improved greatly when quantum rotation algorithm is employed. Meanwhile, much less time overhead is involved in the calculation.
Multi-user detection is becoming one of the key techniques of future wired and wireless communication system. Quantum multi-user detection techniques promise an efficient solution to the NP (non-polynomial) hard problem in the conventional optimal solution of multi-user detection. In this paper, we propose an improved solution of quantum multiuser detection in multi-access quantum channel based on the quantum square-root measurement, by which the minimum square-root probability of error can be gathered. We evaluate the probability of symbol error under various correlation coefficients with PSK modulation, and compare them to that of square-root solution with OOK modulation. The simulation results illustrate that the performance of our method can be improved greatly, but with high computation complexity. Then, we design the threshold algorithm and develop a new quantum square-root measurement formula to reduce the computation complexity. It is shown that these methods can lower the complexity greatly in the numerical computation
Multi-user detection is one of the important technical problems for modern communications. In the field of quantum communication, the multi-access channel on which we apply the technology of quantum information processing is still an open question. In this work, we investigate the multi-user detection problem based on the binary coherent-state signals whose communication way is supposed to be seen as a quantum channel. A binary phase shift keying model of this multi-access channel is studied and a novel method of quantum detection proposed according to the conclusion of the quantum measurement theory. As a result, the average interference between deferent users is presented and the average error probability of the quantum detection is derived theoretically. Finally, we show the maximum channel capacity of this effective detection for a two-access quantum channel