Experimental demonstration of a receiver beating the standard quantum limit for multiple nonorthogonal state discrimination

Becerra, F. E.; Fan, Jianping; Baumgartner, Gerald; Goldhar, J.; Kosloski, J. T.; Migdall, Alan L.

doi:10.1038/nphoton.2012.316

Cited by 174 publications

(162 citation statements)

References 34 publications

Supporting

Mentioning

156

Contrasting

Unclassified

Order By: Relevance

“…In their more recent experiment in ref. [40], amplitude slicing was replaced by the theoretically equivalent strategy -for the flat-top input pulses used in [40] -of slicing the input pulse temporally into slices of equal duration.…”

Section: Sequential Waveform Nulling Receivermentioning

confidence: 99%

“…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%

“…Recently, Becerra and collaborators proposed a feedforward receiver structure for M -ary PSK with arbitrary M and demonstrated that it closely approximates the Helstrom limit for 4-PSK, in a partially simulated experiment without real-time switching of the local oscillator (LO) field [39]. In work that is to appear [40], the Becerra group has implemented their receiver for 4-PSK with real-time switching of the LO and demonstrated that it beats the standard quantum limit, i.e., the performance of the ideal heterodyne receiver, even without adjusting for detection inefficiency and other realistic limitations for average input photon numbers in the range of N = 2 − 15. Other receiver designs continue to be proposed and demonstrated for particular coherent-state sets [41,42].…”

mentioning

confidence: 99%

“…First, we use the quantum Chernoff exponent in M -ary multi-copy state discrimination [21] to obtain the maximum error probability exponent allowed of a coherent-state receiver by quantum mechanics. The Kennedy [24], Bondurant [38], and Becerra [39,40] receivers rely on a strategy of attempting to null, i.e., displace to the vacuum state, the input state by successively subtracting the fields corresponding to the possible hypotheses. We generalize this strategy to any multimode M -ary coherent-state set and propose a receiver for distinguishing between them, which we call the Sequential Waveform Nulling (SWN) receiver 1 .…”

mentioning

confidence: 99%

See 3 more Smart Citations

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

Nair

Guha²,

Tan

2014

Phys. Rev. A

View full text Add to dashboard Cite

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 ...

show abstract

Section: Sequential Waveform Nulling Receivermentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

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

Nair

Guha²,

Tan

2014

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…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%

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

Zuo

Zhu

2016

MATEC Web of Conferences

View full text Add to dashboard Cite

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.

show abstract

Quantum Communication for the Ultimate Capacity and Security

Sasaki

Fujiwara

Takeoka

2016

Principles and Methods of Quantum Information Technologies

View full text Add to dashboard Cite

Experimental demonstration of a receiver beating the standard quantum limit for multiple nonorthogonal state discrimination

Cited by 174 publications

References 34 publications

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

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

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

Quantum Communication for the Ultimate Capacity and Security

Contact Info

Product

Resources

About