Quadrature phase shift keying coherent state discrimination via a hybrid receiver

Müller, Christian; Usuga, Mario A.; Wittmann, Christoffer; Takeoka, Masahiro; Marquardt, Ch.; Andersen, Ulrik L.; Leuchs, Gerd

doi:10.1088/1367-2630/14/8/083009

Cited by 69 publications

(65 citation statements)

References 22 publications

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“…However, exact nulling is not a good idea when signal is weak [5,11]. By adding an additional displacement E just like generalized Kennedy receiver, namely 1, 2, 3, 4…”

Section: Optimal Displacementmentioning

confidence: 99%

“…For phase shift keying (PSK) and pulse position modulation (PPM) signals discrimination, many kinds of quantum receivers have been proposed theoretically and some of them have been demonstrated experimentally [2][3][4][5][6][7][8][9][10][11]. Dolinar receiver was proposed to discriminate binary phase shift keying (BPSK) signals.…”

Section: Introductionmentioning

confidence: 99%

“…So it is very meaningful to reduce the average error probability of QAM signals below the SQL. Inspired by Bondurant [4] and Müller [5,11], we present an original 16-QAM quantum receiver with a hybrid structure, which contains a homodyne receiver and a displacement receiver. Numerical simulation has shown that it can outperform the SQL.…”

Section: Introductionmentioning

confidence: 99%

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16-QAM Quantum Receiver with Hybrid Structure Outperforming the Standard Quantum Limit

Zuo

Zhu

2016

MATEC Web of Conferences

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Abstract. Quantum receivers which can discriminate phase shift keying (PSK) and pulse position modulation (PPM) signals below the standard quantum limit have been proposed and some have been demonstrated experimentally. But for quadrature amplitude modulation (QAM) signals, few literatures have been reported so far. It is important to reduce the average error probability of QAM signals below the standard quantum limit (SQL), since these modulation have a high spectral efficiency. In this paper, we present a quantum receiver for 16-QAM signals discrimination with hybrid structure, which contains a homodyne receiver and a displacement receiver. By numerical simulation, we prove that the performance of the quantum receiver can outperform the SQL, and it can be improved by an optimized displacement.

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“…However, exact nulling is not a good idea when signal is weak [5,11]. By adding an additional displacement E just like generalized Kennedy receiver, namely 1, 2, 3, 4…”

Section: Optimal Displacementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

16-QAM Quantum Receiver with Hybrid Structure Outperforming the Standard Quantum Limit

Zuo

Zhu

2016

MATEC Web of Conferences

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“…Realization of an optimal or suboptimal receiver for optical states using linear optical feedback (or feedforward) and photon counting has been widely studied both theoretically and experimentally [21][22][23][24][25][26][27][28][29][30]. This type of receiver performs an individual measurement on each temporal or spatial slot.…”

Section: Introductionmentioning

confidence: 99%

Realizing a 2-D Positive Operator-Valued Measure by Local Operations and Classical Communication

Nakahira¹,

Usuda²

2018

IEEE Trans. Inform. Theory

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We study the discrimination of multipartite quantum states by local operations and classical communication. We derive that any optimal discrimination of quantum states spanning a twodimensional Hilbert space in which each party's space is finite dimensional is possible by local operations and one-way classical communication, regardless of the optimality criterion used and how entangled the states are.

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“…Our work here was originally motivated by the design of concrete receivers, i.e., physical realizations of POVM's, for discriminating coherent states of light -a subject with a long history that remains an active area of research [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Coherent states of light [44] and their random mixtures are the most ubiquitous quantum states of light and their discrimination is central to optical communication [45,46] and sensing [4,47] with laser light, which is in a coherent state to an excellent approximation.…”

mentioning

confidence: 99%

Realizable receivers for discriminating coherent and multicopy quantum states near the quantum limit

Nair

Guha²,

Tan

2014

Phys. Rev. A

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Coherent states of light, and methods for distinguishing between them, are central to all applications of laser light. We obtain the ultimate quantum limit on the error probability exponent for discriminating among any M multimode coherent-state waveforms via the quantum Chernoff exponent in M -ary multi-copy state discrimination. A receiver, i.e., a concrete realization of a quantum measurement, called the Sequential Waveform Nulling (SWN) receiver, is proposed for discriminating an arbitrary coherent-state ensemble using only auxiliary coherent-state fields, beam splitters, and non-number-resolving single photon detectors. An explicit error probability analysis of the SWN receiver is used to show that it achieves the quantum limit on the error probability exponent, which is shown to be a factor of four greater than the error probability exponent of an ideal heterodyne-detection receiver on the same ensemble. We generalize the philosophy of the SWN receiver, which is itself adapted from some existing coherent-state receivers, and propose a receiver -the Sequential Testing (ST) receiver-for discriminating n copies of M pure quantum states from an arbitrary Hilbert space. The ST receiver is shown to achieve the quantum Chernoff exponent in the limit of a large number of copies, and is remarkable in requiring only local operations and classical communication (LOCC) to do so. In particular, it performs adaptive copy-by-copy binary projective measurements. Apart from being of fundamental interest, these results are relevant to communication, sensing, and imaging systems that use laser light and to photonic implementations of quantum information processing protocols in general.The task of optimally discriminating between unknown nonorthogonal quantum states by making appropriate quantum measurements [1-4] is a fundamental primitive underlying many quantum information processing tasks, including communication [1], sensing and metrology [4,5], and various cryptographic protocols [6]. The paradigmatic problem of the so-called quantum detection theory [1] is to determine the quantum measurement, specified by a mathematical object known as a positive operator-valued measure (POVM) [4,7], that minimizes the average error probability in discriminating a given ensemble of states. The mathematical solution to the problem is known in terms of necessary and sufficient conditions that the optimal POVM must satisfy [8], although for discriminating between more than two states, the explicit solution of these conditions has been obtained only in some specific cases [9]. Over the years, the scope of quantum detection theory has been broadened beyond the above framework to ones such as unambiguous state discrimination [10], maximum confidence discrimination [11], and to specific scenarios of interest such as multi-copy state discrimination using local operations and classical communication (LOCC) [12][13][14][15][16][17], using a quantum computer with limited entanglement [18], and in the asymptotic limit of a large number of copies ...

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Quadrature phase shift keying coherent state discrimination via a hybrid receiver

Cited by 69 publications

References 22 publications

16-QAM Quantum Receiver with Hybrid Structure Outperforming the Standard Quantum Limit

16-QAM Quantum Receiver with Hybrid Structure Outperforming the Standard Quantum Limit

Realizing a 2-D Positive Operator-Valued Measure by Local Operations and Classical Communication

Realizable receivers for discriminating coherent and multicopy quantum states near the quantum limit

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