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We study the discrimination of multipartite quantum states by local operations and classical communication. We derive that any optimal discrimination of quantum states spanning a two-dimensional Hilbert space in which each party's space is…

量子物理 · 物理学 2018-01-12 Kenji Nakahira , Tsuyoshi Sasaki Usuda

It is well known that the classification of pure multiparticle entangled states according to stochastic local operations leads to a natural classification of mixed states in terms of convex sets. We present a simple algorithmic procedure to…

量子物理 · 物理学 2012-09-11 Hermann Kampermann , Otfried Gühne , Colin Wilmott , Dagmar Bruß

We consider the explicit construction of resource states for measurement-based quantum information processing. We concentrate on special-purpose resource states that are capable to perform a certain operation or task, where we consider…

量子物理 · 物理学 2017-07-07 Alexander Pirker , Julius Wallnöfer , Hans J. Briegel , Wolfgang Dür

We present a quantum compilation algorithm that maps Clifford encoders, encoding maps for stabilizer quantum codes, to a unique graphical representation in the ZX calculus. Specifically, we develop a canonical form in the ZX calculus and…

量子物理 · 物理学 2025-02-11 Andrey Boris Khesin , Jonathan Z. Lu , Peter W. Shor

We consider generic pure $n$-qubit states and a general class of pure states of arbitrary dimensions and arbitrarily many subsystems. We characterize those states which can be reached from some other state via Local Operations assisted by…

量子物理 · 物理学 2017-02-01 C. Spee , J. I. de Vicente , D. Sauerwein , B. Kraus

We provide a necessary condition that a quantum measurement can be implemented by the class of protocols known as Local Operations and Classical Communication, or LOCC, including when an error is allowed but must vanish in the limit of an…

量子物理 · 物理学 2022-02-17 Scott M. Cohen

In a seminal work [PRL85.4972], Walgate, Short, Hardy, and Vedral prove in finite dimensions that for every pair of pure multipartite orthogonal quantum states, there exists a one-way local operations and classical communication (LOCC)…

量子物理 · 物理学 2026-01-29 Ian George , Mohammad A. Alhejji

In classical coding, a single quantum state is encoded into classical information. Decoding this classical information in order to regain the original quantum state is known to be impossible. However, one can attempt to construct a state…

量子物理 · 物理学 2021-08-10 Bas Janssens

Stabilizer states and graph states find application in quantum error correction, measurement-based quantum computation and various other concepts in quantum information theory. In this work, we study party-local Clifford (PLC)…

量子物理 · 物理学 2022-11-02 Matthias Englbrecht , Tristan Kraft , Barbara Kraus

We analyze implementations of bipartite unitaries by means of local operations and classical communication (LOCC) assisted by shared entanglement. We employ concepts and techniques developed in quantum Shannon theory to study an asymptotic…

量子物理 · 物理学 2018-03-26 Eyuri Wakakuwa , Akihito Soeda , Mio Murao

Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a…

量子物理 · 物理学 2013-09-02 Vlad Gheorghiu , Barry C. Sanders

We show how to convert an arbitrary stabilizer code into a bipartite quantum code. A bipartite quantum code is one that involves two senders and one receiver. The two senders exploit both nonlocal and local quantum resources to encode…

量子物理 · 物理学 2010-09-06 Mark M. Wilde , David Fattal

In this paper we investigate the encoding of operator quantum error correcting codes i.e. subsystem codes. We show that encoding of subsystem codes can be reduced to encoding of a related stabilizer code making it possible to use all the…

量子物理 · 物理学 2008-07-01 Pradeep Kiran Sarvepalli , Andreas Klappenecker

One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries. We show how to design critical states with…

量子物理 · 物理学 2021-05-04 Oskar Słowik , Adam Sawicki , Tomasz Maciążek

In previous work we have proposed a construction of quantum-like bits that could endow a large synchronizing classical system, for example of oscillators, with quantum-like function that is not compromised by decoherence. In the present…

量子物理 · 物理学 2025-04-28 Graziano Amati , Gregory D. Scholes

We investigate the entanglement properties of pure quantum states describing $n$ qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems using controlled operations. A state has this…

量子物理 · 物理学 2013-05-29 C. Kruszynska , B. Kraus

Each Bell state has the property that by performing just local operations on one qubit, the complete Bell basis can be generated. That is, states generated by local operations are totally distinguishable. This remarkable property is due to…

量子物理 · 物理学 2009-11-06 Mario Ziman , Vladimir Buzek

Graph states are well-entangled quantum states that are defined based on a graph. Of course, if two graphs are isomorphic their associated states are the same. Also, we know local operations do not change the entanglement of quantum states.…

量子物理 · 物理学 2011-11-09 Mohsen Bahramgiri , Salman Beigi

We study concretely how classical signals should be processed in quantum cluster-state computation. Deforming corresponding quantum teleportation circuit, we find a simple rule of a classical signal-flow to obtain correct quantum…

量子物理 · 物理学 2009-06-16 Kazuto Oshima

Kernel methods are powerful for machine learning, as they can represent data in feature spaces that similarities between samples may be faithfully captured. Recently, it is realized that machine learning enhanced by quantum computing is…

量子物理 · 物理学 2023-08-22 Long Hin Li , Dan-Bo Zhang , Z. D. Wang