Efficient compression of quantum information

Details Efficient compression of quantum information Efficient compression of quantum information

2009-07-10

arxiv.org/abs/0907.1764v2

Phys. Rev. A 81, 032317 (2010)

Physics

Quantum Physics

8 pages, 4 figures

Scientific paper

10.1103/PhysRevA.81.032317

We propose a scheme for an exact efficient transformation of a tensor product state of many identically prepared qubits into a state of a logarithmically small number of qubits. Using a quadratic number of elementary quantum gates we transform N identically prepared qubits into a state, which is nontrivial only on the first log(N+1) qubits. This procedure might be useful for quantum memories, as only a small portion of the original qubits has to be stored. Another possible application is in communicating a direction encoded in a set of quantum states, as the compressed state provides a high-effective method for such an encoding.

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