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| related topics |
| {state, states, entangled} |
| {states, state, optimal} |
| {let, theorem, proof} |
| {alice, bob, state} |
| {qubit, qubits, gate} |
| {operator, operators, space} |
| {time, decoherence, evolution} |
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On the local unitary equivalence of states of multi-partite systems
Mario Ziman, Peter Stelmachovic, Vladimir Buzek
abstract: Two pure states of a multi-partite system are alway are related by a unitary
transformation acting on the Hilbert space of the whole system. This
transformation involves multi-partite transformations. On the other hand some
quantum information protocols such as the quantum teleportation and quantum
dense coding are based on equivalence of some classes of states of bi-partite
systems under the action of local (one-particle) unitary operations. In this
paper we address the question: ``Under what conditions are the two states
states, $\varrho$ and $\sigma$, of a multi-partite system locally unitary
equivalent?'' We present a set of conditions which have to be satisfied in
order that the two states are locally unitary equivalent. In addition, we study
whether it is possible to prepare a state of a multi-qudit system. which is
divided into two parts A and B, by unitary operations acting only on the
systems A and B, separately.
- oai_identifier:
- oai:arXiv.org:quant-ph/0107016
- categories:
- quant-ph
- comments:
- 6 revtex pages, 1 figure
- arxiv_id:
- quant-ph/0107016
- created:
- 2001-07-03
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