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We consider the problem of designing an optimal quantum detector that distinguishes unambiguously between a collection of mixed quantum states. Using arguments of duality in vector space optimization, we derive necessary and sufficient…

Quantum Physics · Physics 2009-11-10 Yonina C. Eldar , Mihailo Stojnic , Babak Hassibi

We show that the full statistics of the two detectors outputs in a balanced homodyne detection setup involving a local oscillator in an ideal coherent state is experimentally accessible despite the excess noise existing in actual laser…

Quantum Physics · Physics 2019-01-30 A. Auyuanet , E. Benech , H. Failache , A. Lezama

In this paper, we revisit a recently proposed receiver design, named the splitting receiver, which jointly uses coherent and non-coherent processing for signal detection. By considering an improved signal model for the splitting receiver as…

Information Theory · Computer Science 2024-10-30 Yanyan Wang , Wanchun Liu , Xiangyun Zhou , Guanghui Liu

We investigate the role of weak-field homodyne (WF) measurement for quantum communications over a lossy bosonic channel with coherent state encoding. This kind of receiver employs photon-number resolving (PNR) detectors with finite…

Quantum Physics · Physics 2025-05-27 Michele N. Notarnicola , Stefano Olivares

We propose an inverse-squeezing Kennedy receiver for discriminating binary phase-shift-keyed displaced squeezed vacuum states. The receiver combines a Kennedy-type nulling displacement, an orthogonally oriented inverse-squeezing operation…

Quantum Physics · Physics 2026-05-13 Enhao bai , Jian Peng , Tianyi Wu , Kai Wen , Fengkai Sun , Chun Zhou , Yaping Li , Zhenrong Zhang , Chen Dong

Photon statistics of an optical field can be used for quantum optical sensing in low light level scenarios free of bulky optical components. However, photon-number-resolving detection to unravel the photon statistics is challenging. Here,…

Quantum Physics · Physics 2023-07-31 F. Bao , L. Bauer , A. E. Rubio Lopez , Z. Jacob

In this paper, we propose to use the decoy-state technique to improve the security of the quantum key distribution (QKD) systems based on homodyne detection against the photon number splitting (PNS) attack. The decoy-state technique is a…

Quantum Physics · Physics 2017-11-28 S. Hamed Shams Mousavi , Philippe Gallion

It is known that the quantum fidelity, as a measure of the closeness of two quantum states, is operationally equivalent to the minimal overlap of the probability distributions of the two states over all possible POVMs; the POVM realizing…

Quantum Physics · Physics 2009-11-10 Hyunchul Nha , H. J. Carmichael

Since their first demonstration in 2001, superconducting-nanowire single-photon detectors have witnessed two decades of great developments. SNSPDs are the detector of choice in most modern quantum optics experiments and are slowly finding…

We analyze the performance of photon-number-resolving (PNR) detectors and introduce a figure of merit for the accuracy of such detectors. This figure of merit is the (worst-case) probability that the photon-number-resolving detector…

Quantum Physics · Physics 2019-04-24 Mattias Jönsson , Gunnar Björk

In the standard homodyne configuration, an unknown optical state is combined with a local oscillator (LO) on a beam splitter (BS). Good quadrature measurements require a high-amplitude LO and two high-efficiency photodiodes whose signals…

Quantum Physics · Physics 2023-06-01 Arik Avagyan

Performing homodyne detection at one port of squeezed-state light interferometer and then binarzing measurement data are important to achieve super-resolving and super-sensitive phase measurements. Here we propose a new data-processing…

Quantum Physics · Physics 2020-01-29 J. H. Xu , A. X. Chen , W. Yang , G. R. Jin1

This paper explores multiparameter quantum metrology using Greenberger-Horne-Zeilinger (GHZ)-type photon-added coherent states (PACS) and investigates both independent and simultaneous parameter estimation with linear and non-linear…

Quantum Physics · Physics 2025-05-16 Hanan Saidi , Abdallah Slaoui , Hanane El Hadfi , Rachid Ahl Laamara

Over the past decade, binary phase-shift keying %communication encoding has been used as a benchmark to test the performance of different detection strategies to address the problem of state discrimination. In this context, hybrid devices,…

Quantum Physics · Physics 2025-03-13 Silvia Cassina , Michele N. Notarnicola , Stefano Olivares , Alessia Allevi

We study the problem of calibrating a quantum receiver for optical coherent states when transmitted on a quantum optical channel with variable transmissivity, a common model for long-distance optical-fiber and free/deep-space optical…

Quantum Physics · Physics 2022-03-21 Matias Bilkis , Matteo Rosati , John Calsamiglia

Superconducting nanowire single-photon detectors (SNSPDs) have been widely used to study the discrete nature of quantum states of light in the form of photon-counting experiments. We show that SNSPDs can also be used to study continuous…

Quantum Physics · Physics 2024-11-12 Maximilian Protte , Timon Schapeler , Jan Sperling , Tim J. Bartley

We determine the optimal method of discriminating and comparing quantum states from a certain class of multimode Gaussian states and their mixtures when arbitrary global Gaussian operations and general Gaussian measurements are allowed. We…

Optical homodyne detection has found use in a range of quantum technologies as both a characterisation tool and as a way to post-selectively generate non-linearities. So far optical implementations have been limited to bulk optics. Here we…

We study an optimized measurement that discriminates two mixed quantum states with maximum confidence for each conclusive result, thereby keeping the overall probability of inconclusive results as small as possible. When the rank of the…

Quantum Physics · Physics 2009-11-13 Ulrike Herzog

Based on our previous publication [U. Herzog and J. A. Bergou, Phys.Rev. A 71, 050301(R) (2005)] we investigate the optimum measurement for the unambiguous discrimination of two mixed quantum states that occur with given prior…

Quantum Physics · Physics 2009-11-11 Ulrike Herzog , Janos A. Bergou