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Suppose we want to distinguish two quantum pure states. We consider the case in which no classical knowledge on the two states is given and only a pair of samples of the two states is available. This problem is called quantum pure-state…

Quantum Physics · Physics 2008-01-07 Y. Ishida , T. Hashimoto , M. Horibe , A. Hayashi

We consider the manipulation of multipartite entangled states in the limit of many copies under quantum operations that asymptotically cannot generate entanglement. As announced in [Brandao and Plenio, Nature Physics 4, 8 (2008)], and in…

Quantum Physics · Physics 2010-03-10 Fernando G. S. L. Brandao , Martin. B. Plenio

In this article, we show a sufficient and necessary condition for locally distinguishable bipartite states via one-way local operations and classical communication (LOCC). With this condition, we present some minimal structures of one-way…

Quantum Physics · Physics 2019-08-27 Xiaoqian Zhang , Cheng Guo , Weiqi Luo , Xiaoqing Tan

Entanglement theory is formulated as a quantum resource theory in which the free operations are local operations and classical communication (LOCC). This defines a partial order among bipartite pure states that makes it possible to identify…

Quantum Physics · Physics 2019-07-18 Patricia Contreras-Tejada , Carlos Palazuelos , Julio I. de Vicente

Quantum nonlocality has different manifestations that, in general, are revealed by local measurements of the parts of a composite system. In this paper, we study nonlocality arising from a set of orthogonal states that cannot be perfectly…

Quantum Physics · Physics 2021-11-16 Somshubhro Bandyopadhyay , Saronath Halder

Bound entanglement is a special form of quantum entanglement that cannot be used for distillation, i.e., the local transformation of copies of arbitrarily entangled states into a smaller number of approximately maximally entangled states.…

Quantum Physics · Physics 2025-08-01 Beatrix C. Hiesmayr , Christopher Popp , Tobias C. Sutter

The work is intended to represent some interesting and apparently peculiar features of entangled system in both pure as well as mixed states level. In the pure state level, we are largely concerned about the existence and characteristics of…

Quantum Physics · Physics 2008-05-15 Indrani Chattopadhyay

We propose an approach to the study of quantum resource manipulation based on the basic observation that quantum channels which preserve certain sets of states are contractive with respect to the base norms induced by those sets. We forgo…

Quantum Physics · Physics 2024-12-10 Bartosz Regula , Ludovico Lami

We consider the question of perfect local distinguishability of mutually orthogonal bipartite quantum states, with the property that every state can be specified by a unitary operator acting on the local Hilbert space of Bob. We show that…

Quantum Physics · Physics 2015-05-27 Somshubhro Bandyopadhyay , Sibasish Ghosh , Guruprasad Kar

Entangled states can help in quantum state discrimination by local operations and classical communication (LOCC). For example, a Bell state is necessary (and sufficient) to perfectly discriminate a set of either three or four Bell states by…

Quantum Physics · Physics 2021-10-04 Somshubhro Bandyopadhyay , Vincent Russo

We consider deeply the relation between the orthogonality and the distinguishability of a set of arbitrary states (including multi-partite states). It is shown that if a set of arbitrary states can be distinguished by local operations and…

Quantum Physics · Physics 2009-11-07 Ping Xing Chen , Cheng Zu Li

The creation of complex entangled states, resources that enable quantum computation, can be achieved via simple 'probabilistic' operations which are individually likely to fail. However, typical proposals exploiting this idea carry a severe…

Quantum Physics · Physics 2013-05-29 Yuichiro Matsuzaki , Simon C Benjamin , Joseph Fitzsimons

In a quantum change point problem, a source emitting particles in a fixed quantum state (default) switches to a different state at some stage, and the objective is to identify when the change happened by measuring a sequence of particles…

Quantum Physics · Physics 2024-04-11 Abhishek Banerjee , Pratapaditya Bej , Somshubhro Bandyopadhyay

We derive an optimal bound for arbitrary entanglement manipulation based on the transmission of a pulse in coherent states over a lossy channel followed by local operations and unlimited classical communication (LOCC). This stands on a…

Quantum Physics · Physics 2015-05-30 Koji Azuma , Go Kato

Given two pairs of quantum states, a fundamental question in the resource theory of asymmetric distinguishability is to determine whether there exists a quantum channel converting one pair to the other. In this work, we reframe this…

Quantum Physics · Physics 2020-09-30 Soorya Rethinasamy , Mark M. Wilde

Bounds analogous to entropic uncertainty relations allow one to design practical tests to detect quantum entanglement by a collective measurement performed on several copies of the state analyzed. This approach, initially worked out for…

Quantum Physics · Physics 2013-01-04 Łukasz Rudnicki , Zbigniew Puchała , Paweł Horodecki , Karol Życzkowski

Entanglement is one of the key feature of quantum world and any entanglement measure must satisfy some basic laws. Most important of them is the invariance of entanglement under local unitary operations. We show that this is no longer true…

Quantum Physics · Physics 2014-04-25 Arun Kumar Pati

We explore the link between two concepts: the level of violation of a Bell inequality by a quantum state and discrimination between two states by means of restricted classes of operations, such as local operations and classical…

Quantum Physics · Physics 2015-07-15 Karol Horodecki , Gláucia Murta

We consider the actions of protocols involving local quantum operations and classical communication (LQCC) on a single system consisting of two separated qubits. We give a complete description of the orbits of the space of states under LQCC…

Quantum Physics · Physics 2009-10-31 Adrian Kent , Noah Linden , Serge Massar

Catalytic coherence transformations allow the otherwise impossible state transformations using only incoherent operations with the aid of an auxiliary system with finite coherence which is not being consumed in anyway. Here we find the…

Quantum Physics · Physics 2016-04-21 Kaifeng Bu , Uttam Singh , Junde Wu