TESTING EQUIVALENCE OF PURE QUANTUM STATES AND GRAPH STATES UNDER SLOCC

Equivalence of Quantum States under Local Unitary Transformations

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.. As a matter of fact, the degree of en...

Equivalence of Tripartite Quantum States under Local Unitary Transformations

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 equivalent if and only if all these inva...

SLOCC Invariants for Multipartite Mixed States

Concurrence of quasi pure quantum states

Entangled states constitute one of the most fundamental differences between quantum and classical mechanics. The objects of prime interest in most experiments are pure entangled states. Therefore, experimental setups are designed such that unavoidable environment coupling is minimised, in order to keep the system state as pure as possible. On the theoretical side, most efforts are concerned wit...

Comparison of two unknown pure quantum states

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