Quantum Receiver beyond the Standard Quantum Limit of Coherent Optical Communication

Tsujino, Kumiko; Fukuda, Daiji; Fujii, Go; Inoue, Shuichiro; Fujiwara, Mikio; Takeoka, Masahiro; Sasaki, Masahide

doi:10.1103/physrevlett.106.250503

Cited by 118 publications

(111 citation statements)

References 24 publications

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“…This is because the displacement D † (gα * ) transforms the coherent state |gα * to the vacuum state as |0 =D † (gα * ) |gα * and the vacuum state is correctly discriminated by the photon detection as the no-photon event. This measurement technique has been demonstrated recently [45][46][47]. Repeating this process we can obtain the probability that the pair state |α A |gα * B is contained in the total system initially.…”

Section: Experimental Measurement Schemesmentioning

confidence: 99%

Einstein–Podolsky–Rosen-Like Correlation on a Coherent-State Basis and Inseparability of Two-Mode Gaussian States

Namiki

2013

J. Phys. Soc. Jpn.

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The strange property of the Einstein-Podolsky-Rosen (EPR) correlation between two remote physical systems is a primitive object on the study of quantum entanglement. In order to understand the entanglement in canonical continuous-variable systems, a pair of the EPR-like uncertainties is an essential tool. Here, we consider a normalized pair of the EPR-like uncertainties and introduce a state-overlap to a classically correlated mixture of coherent states. The separable condition associated with this state-overlap determines the strength of the EPR-like correlation on a coherent-state basis in order that the state is entangled. We show that the coherent-state-based condition is capable of detecting the class of two-mode Gaussian entangled states. We also present an experimental measurement scheme for estimation of the state-overlap by a heterodyne measurement and a photon detection with a feedforward operation.

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Section: Experimental Measurement Schemesmentioning

confidence: 99%

Einstein–Podolsky–Rosen-Like Correlation on a Coherent-State Basis and Inseparability of Two-Mode Gaussian States

Namiki

2013

J. Phys. Soc. Jpn.

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“…In optical communication at very low power regime, it is known that homodyne or heterodyne measurements are not optimal to minimize the error of discriminating modulated coherent state signals [13]. In the last decade, practical quantum receiver configuration superior to homodyne and heterodyne receivers has been proposed for various set of signals [14][15][16][17][18][19][20][21] and successfully demonstrated with the current technology [22][23][24][25][26][27][28][29]. Our basic idea is to apply these receivers -originally designed for state discrimination-for a different purpose, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…the phase estimation. Specifically, we employ the simplest static receiver technique which we call the displaced photon counting [14,17,23,30], consisting of displacement operation and a photon detector (with no adaptive feedback). We show that in a wide range of φ, our scheme works better than homodyne and heterodyne receivers in terms of FI.…”

Section: Introductionmentioning

confidence: 99%

Optical phase estimation via the coherent state and displaced-photon counting

et al. 2016

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We consider the phase sensing via weak optical coherent state at quantum limit precision. A new detection scheme for the phase estimation is proposed which is inspired by the suboptimal quantum measurement in coherent optical communication. We theoretically analyze a performance of our detection scheme, which we call the displaced-photon counting, for phase sensing in terms of the Fisher information and show that the displaced-photon counting outperforms the static homodyne and heterodyne detections in wide range of the target phase. The proof-of-principle experiment is performed with linear optics and a superconducting nanowire single photon detector. The result shows that our scheme overcomes the limit of the ideal homodyne measurement even under practical imperfections.

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“…Takeoka and collaborators showed that an arbitrary binary projective measurement can be performed on arbitrary quantum-optical states using auxiliary coherent fields, linear optics, photon counting and feedback, thereby generalizing Dolinar's receiver beyond coherent states [29,30]. Receivers with performance in between the Kennedy and Dolinar receivers were recently proposed [31,32] for binary coherent state discrimination and experimentally demonstrated [33][34][35] in the low-photon-number regime, where the absolute performance gap between the Kennedy and Dolinar receivers is the largest. For M > 2, Dolinar proposed a receiver for M -ary Pulse Position Modulation (PPM) that is exponentially optimal [36] and was recently demonstrated experimentally [37].…”

mentioning

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%

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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Quantum Receiver beyond the Standard Quantum Limit of Coherent Optical Communication

Cited by 118 publications

References 24 publications

Einstein–Podolsky–Rosen-Like Correlation on a Coherent-State Basis and Inseparability of Two-Mode Gaussian States

Einstein–Podolsky–Rosen-Like Correlation on a Coherent-State Basis and Inseparability of Two-Mode Gaussian States

Optical phase estimation via the coherent state and displaced-photon counting

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

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