Invariants of multiple-qubit systems under stochastic local operations

Details Invariants of multiple-qubit systems under stochastic local operations Invariants of multiple-qubit systems under stochastic local operations

2003-01-30

arxiv.org/abs/quant-ph/0301174v1

Physics

Quantum Physics

12 pages, 0 figures. Contribution to the international conference Foundations of probability and physics 2, June 2 through Jun

Scientific paper

We investigate the behavior of quantum states under stochastic local quantum operations and classical communication (SLOCC) for fixed numbers of qubits. We explicitly exhibit the homomorphism between complex and real groups for two-qubits, and use the latter to describe the effect of SLOCC operations on two-qubit states. We find an expression for the polarization Lorentz group invariant length, which is the Minkowskian analog of the quantum state purity, the corresponding Euclidean length. The construction presented is immediately generalizable to any finite number of qubits.

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