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- Bo Li, Zhi-Xi Wang, Shao-Ming Fei
- 2011

We study the level surfaces of quantum discord for a class of two-qubit states with parallel nonzero Bloch vectors. The dynamic behavior of quantum discord under decoherence is investigated. It is shown that a class of X states has sudden transition between classical and quantum correlations under decoherence. Our results include the ones in [Phys. Rev.… (More)

- Kai Chen, Sergio Albeverio, Shao-Ming Fei
- Physical review letters
- 2005

We derive an analytical lower bound for the concurrence of a bipartite quantum state in arbitrary dimension. A functional relation is established relating concurrence, the Peres-Horodecki criterion, and the realignment criterion. We demonstrate that our bound is exact for some mixed quantum states. The significance of our method is illustrated by giving a… (More)

- Teng Ma, Ming-Jing Zhao, Yao-Kun Wang, Shao-Ming Fei
- Scientific reports
- 2014

We study the local indistinguishability problem of quantum states. By introducing an easily calculated quantity, non-commutativity, we present an criterion which is both necessary and sufficient for the local indistinguishability of a complete set of pure orthogonal product states. A constructive distinguishing procedure to obtain the concrete local… (More)

The quantum entanglements are studied in terms of the invariants under local unitary transformations. A generalized formula of concurrence for N -dimensional quantum systems is presented. This generalized concurrence has potential applications in studying separability and calculating entanglement of formation for high dimensional mixed quantum states. PACS… (More)

- Bin Chen, Shao-Ming Fei
- Scientific reports
- 2015

We formulate uncertainty relations for arbitrary N observables. Two uncertainty inequalities are presented in terms of the sum of variances and standard deviations, respectively. The lower bounds of the corresponding sum uncertainty relations are explicitly derived. These bounds are shown to be tighter than the ones such as derived from the uncertainty… (More)

The equivalence of tripartite pure states under local unitary transformations is investigated. The nonlocal properties for a class of tripartite quantum states in C ⊗ C ⊗ C composite systems are investigated and a complete set of invariants under local unitary transformations for these states is presented. It is shown that two of these states are locally… (More)

Explicit sufficient and necessary conditions for separability of higher dimensional quantum systems with rank two density matrices are given. A nonseparability inequality is also presented, for the case where one of the eigenvectors corresponding to nonzero eigenvalues is a maximally entangled state. PACS numbers: 03.65.Bz, 89.70.+c 1 SFB 256; SFB 237;… (More)

- Yuan-Hong Tao, Hua Nan, Jun Zhang, Shao-Ming Fei
- Quantum Information Processing
- 2015

We present a family of Bell inequalities involving only two measurement settings of each party for N > 2 qubits. Our inequalities include all the standard ones with fewer than N qubits and thus gives a natural generalization. It is shown that all the Greenberger-Horne-Zeilinger states violate the inequalities maximally, with an amount that grows… (More)

- Shao-Ming Fei
- 2005

As one of the most striking features of quantum phenomena [1], quantum entanglement has been identified as a non-local resource for quantum information processing such as quantum computation [2, 3], quantum teleportation [4], dense coding [5], quantum cryptographic schemes [6]entanglement swapping [7], and remote state preparation (RSP) [8, 9, 10, 11] etc..… (More)