Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states

Details Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states Derivation and experimental test of fidelity benchmarks for remote preparation of arbitrary qubit states

2009-09-30

arxiv.org/abs/0909.5461v1

Phys. Rev. A 81, 012334 (2010)

Physics

Quantum Physics

13 pages, 7 figures, comments are welcome

Scientific paper

10.1103/PhysRevA.81.012334

Remote state preparation (RSP) is the act of preparing a quantum state at a remote location without actually transmitting the state itself. Using at most two classical bits and a single shared maximally entangled state, one can in theory remotely prepare any qubit state with certainty and with perfect fidelity. However, in any experimental implementation the average fidelity between the target and output states cannot be perfect. In order for an RSP experiment to demonstrate genuine quantum advantages, it must surpass the optimal threshold of a comparable classical protocol. Here we study the fidelity achievable by RSP protocols lacking shared entanglement, and determine the optimal value for the average fidelity in several different cases. We implement an experimental scheme for deterministic remote preparation of arbitrary photon polarization qubits, preparing 178 different pure and mixed qubit states with an average fidelity of 0.995. Our experimentally-achieved average fidelities surpass our derived classical thresholds whenever the classical protocol does not trivially allow for perfect RSP.

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