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Quantum state discrimination is a fundamental task that is meaningful in quantum information theory. In this manuscript, we consider a revised unambiguous discrimination of quantum resources. First, we present an upper bound of the success…

Quantum Physics · Physics 2024-10-08 Xian Shi

The quantum switch describes a quantum operation in which two or more quantum channels act on a quantum system with the order of application determined by the state of an order quantum system. And by suitably choosing the state of the order…

Quantum Physics · Physics 2022-10-07 Debarshi Das , Somshubhro Bandyopadhyay

Quantum state filtering is a variant of the unambiguous state discrimination problem: the states are grouped in sets and we want to determine to which particular set a given input state belongs.The simplest case, when the N given states are…

Quantum Physics · Physics 2009-11-11 Janos A. Bergou , Mark Hillery

Quantum theory is in principle compatible with scenarios where physical processes occur in an indefinite order, potentially yielding advantages in a broad range of information processing tasks. However, advantages in communication, the most…

Quantum Physics · Physics 2026-03-26 Xuanqiang Zhao , Benchi Zhao , Cyril Branciard , Giulio Chiribella

We discuss a scheme in which sequential state-discrimination measurements are performed on qudits to determine the quantum state in which they were initially prepared. The qudits belong to a set of nonorthogonal quantum states and hence…

Quantum Physics · Physics 2017-10-17 Mark Hillery , Jihane Mimih

Many quantum mechanical experiments can be viewed as multi-round interactive protocols between known quantum circuits and an unknown quantum process. Fully quantum "coherent" access to the unknown process is known to provide an advantage in…

Quantum Physics · Physics 2022-03-14 Zane M. Rossi , Jeffery Yu , Isaac L. Chuang , Sho Sugiura

Quantum theory is consistent with a computational model permitting black-box operations to be applied in an indefinite causal order, going beyond the standard circuit model of computation. The quantum switch -- the simplest such example --…

There are two common settings in a quantum-state discrimination problem. One is minimum-error discrimination where a wrong guess (error) is allowed and the discrimination success probability is maximized. The other is unambiguous…

Quantum Physics · Physics 2009-11-13 A. Hayashi , T. Hashimoto , M. Horibe

Multiple photonic degrees of freedom can be explored to generate high-dimensional quantum states; commonly referred to as `qudits'. Qudits offer several advantages for quantum communications, including higher information capacity, noise…

Quantum Physics · Physics 2023-03-21 Indrakshi Dey , Nicola Marchetti

We introduce the problem of unsupervised classification of quantum data, namely, of systems whose quantum states are unknown. We derive the optimal single-shot protocol for the binary case, where the states in a disordered input array are…

Quantum Physics · Physics 2019-11-11 Gael Sentís , Alex Monràs , Ramon Muñoz-Tapia , John Calsamiglia , Emilio Bagan

We consider transmission of an (unknown) quantum state between two distant atoms via photons. Based on a quantum-optical realistic model, we define a noisy quantum channel which includes systematic errors as well as errors due to coupling…

Quantum Physics · Physics 2009-01-23 S. J. van Enk , J. I. Cirac , P. Zoller

We uncover new behaviors of the transmission of information by three quantum channels in superposition of causal orders subject to some level of noise. We find that the transmission can exhibit three different behaviors as the level of…

Quantum Physics · Physics 2021-11-08 Lorenzo M. Procopio , Francisco Delgado , Marco Enriquez , Nadia Belabas

Indefinite causal order is an evolving field with potential involvement in quantum technologies. Here we propose and study one possible scenario of practical application in quantum communication: a compound entanglement distillation…

Quantum Physics · Physics 2023-12-08 Zai Zuo , Michael Hanks , M. S. Kim

Recently, a protocol for quantum state discrimination (QSD) in a multi-party scenario has been introduced [Phys. Rev. Lett. 111, 100501 (2013)]. In this protocol, Alice generates a quantum system in one of two pre-defined non-orthogonal…

Quantum Physics · Physics 2016-10-11 M. A. Solís-Prosser , P. González , J. Fuenzalida , S. Gómez , G. B. Xavier , A. Delgado , G. Lima

In quantum information technology, crucial information is regularly encoded in different quantum states. To extract information, the identification of one state from the others is inevitable. However, if the states are non-orthogonal and…

Quantum Physics · Physics 2023-04-17 Lu-Ji Wang , Jia-Yi Lin , Shengjun Wu

In this work, we consider optimal state discrimination for a quantum system that interacts with an environment, i.e., states evolve under a quantum channel. We show the conditions on a quantum channel and an ensemble of states such that a…

Quantum Physics · Physics 2019-06-12 Spiros Kechrimparis , Tanmay Singal , Chahan M. Kropf , Joonwoo Bae

We study the problem of decoding classical information encoded on quantum states at the output of a quantum channel, with particular focus on increasing the communication rates towards the maximum allowed by Quantum Mechanics. After a brief…

Quantum Physics · Physics 2017-10-25 Matteo Rosati

Quantum state discrimination is a fundamental information processing task that serves as a building block for numerous applications and provides implications at the foundational level. In this work, we consider minimum error discrimination…

Quantum Physics · Physics 2026-04-30 Tim Achenbach , Leevi Leppäjärvi , Hanwool Lee , Teiko Heinosaari

Quantum coherence is a prime resource in quantum computing and quantum communication. Quantum coherence of an arbitrary qubit state can be created at a remote location using maximally entangled state, local operation and classical…

Quantum Physics · Physics 2023-02-09 Jasleen Kaur , Shrobona Bagchi , Arun Kumar Pati

Quantum memories are a crucial precondition in many protocols for processing quantum information. A fundamental problem that illustrates this statement is given by the task of channel discrimination, in which an unknown channel drawn from a…

Quantum Physics · Physics 2026-01-28 Ties-A. Ohst , Shijun Zhang , Hai Chau Nguyen , Martin Plávala , Marco Túlio Quintino