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We put forward an alternative approach to the SLOCC classification of entanglement states of three-qubit and four-qubit systems. By directly solving matrix equations, we obtain the relations satisfied by the amplitudes of states. The…

Quantum Physics · Physics 2009-11-13 D. Li , X. Li , H. Huang , X. Li

We consider multi-party quantum sequence discrimination under local operations and classical communication(LOCC), and provide conditions under which the optimal LOCC discrimination of a multi-party quantum sequence ensemble can be…

Quantum Physics · Physics 2025-10-30 Donghoon Ha , Jeong San Kim

Permutation-symmetric n qubit pure states can be represented by n points on the surface of the unit sphere by means of the Majorana representation. Here this representation is employed to characterize and compare the three entanglement…

Quantum Physics · Physics 2011-03-18 Martin Aulbach

We characterize the class of all physical operations that transform Gaussian states to Gaussian states. We show that this class coincides with that of all operations which can be performed on Gaussian states using linear optical elements…

Quantum Physics · Physics 2009-11-07 Géza Giedke , J. Ignacio Cirac

We show that any two different unitary operations acting on an arbitrary multipartite quantum system can be perfectly distinguishable by local operations and classical communication when a finite number of runs is allowed. We then directly…

Quantum Physics · Physics 2011-11-09 Runyao Duan , Yuan Feng , Mingsheng Ying

Based on a proposed coherence measure, we show that the local coherence of a bipartite quantum pure state (coherence of its reduced density matrix) is exactly the same as the minimal average co- herence with all potential pure-state…

Quantum Physics · Physics 2014-11-04 Chang-shui Yu , He-shan Song

We construct the protocols to achieve probabilistic and deterministic entanglement transformations for bipartite pure states by means of local operations and classical communication. A new condition on pure contraction transformations is…

Quantum Physics · Physics 2007-05-23 G. M. D'Ariano , M. F. Sacchi

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

We define a time continuous version of the concept of "local operations and classical communication" (LOCC), ubiquitous in quantum information theory. It allows us to construct GKLS master equations for particle systems that have (1) an…

Quantum Physics · Physics 2018-01-22 Lajos Diósi , Antoine Tilloy

Understanding the thermal behavior of quantum many-body pure states is one of the most fundamental issues in quantum thermodynamics. It is widely known that typical pure states yield vanishing work, just as thermal states do, when one…

Quantum Physics · Physics 2026-01-22 Toshihiro Yada , Nobuyuki Yoshioka , Takahiro Sagawa

In this paper we study local unitary invariants of a multi-partite quantum state that are monotonic, on average, under local operations and classical communication (locc). In particular we focus on local unitary invariants that are…

Quantum Physics · Physics 2025-09-09 Abhijit Gadde , Shraiyance Jain

We generalize the Schmidt-correlated states to multipartite systems. The related equivalence under SLOCC, the separability, entanglement witness, entanglement measures of negativity, concurrence and relative entropy are investigated in…

Quantum Physics · Physics 2009-11-13 Ming-Jing Zhao , Shao-Ming Fei , Zhi-Xi Wang

Local distinguishability of orthogonal quantum states can effectively reduce the consumption of quantum resources and lower economic costs in quantum protocols. Although numerous achievements have been made regarding local…

Quantum Physics · Physics 2026-05-12 Guang-Bao Xu , Zi-Yan Hao , Hua-Kun Wang , Yu-Guang Yang , Dong-Huan Jiang

We show that in principle, $N$-partite unitary transformations can be perfectly discriminated under local measurement and classical communication (LOCC) despite of their nonlocal properties. Based on this result, some related topics,…

Quantum Physics · Physics 2009-11-13 Xiangfa Zhou , Yongsheng Zhang , Guangcan Guo

In this paper, we study the number of rounds of communication needed to implement certain tasks by local quantum operations and classical communication (LOCC). We find that the class of LOCC operations becomes strictly more powerful as more…

Quantum Physics · Physics 2011-11-07 Eric Chitambar

We introduce deterministic state-transformation protocols between many-body quantum states which can be implemented by low-depth Quantum Circuits (QC) followed by Local Operations and Classical Communication (LOCC). We show that this gives…

Quantum Physics · Physics 2021-11-24 Lorenzo Piroli , Georgios Styliaris , J. Ignacio Cirac

The characterization of transformations among entangled pure states via local operations assisted by classical communication (LOCC) is a crucial problem in quantum information theory for both theoretical and practical reasons. As LOCC has a…

We exactly evaluate a number of multipartite entanglement measures for a class of graph states, including d-dimensional cluster states (d = 1,2,3), the Greenberger-Horne-Zeilinger states, and some related mixed states. The entanglement…

Quantum Physics · Physics 2007-07-10 Damian Markham , Akimasa Miyake , Shashank Virmani

Measurements that can be implemented via local operations and classical communication (LOCC) constitute a class of operations that is available in future quantum networks in which parties share entangled resource states. We characterise the…

Quantum Physics · Physics 2026-03-31 Arthur C. R. Dutra , Ties-A. Ohst , Hai-Chau Nguyen , Otfried Gühne

A complete analysis of entangled bipartite qutrit pure states is carried out based on a simple entanglement measure. An analysis of all possible extremally entangled pure bipartite qutrit states is shown to reduce, with the help of SLOCC…

Quantum Physics · Physics 2009-11-11 Feng Pan , Guoying Lu , J. P. Draayer