Loss-tolerant parity measurement for distant quantum bits

Alain Sarlette 1 Mazyar Mirrahimi 1
1 QUANTIC - QUANTum Information Circuits
ENS Paris - École normale supérieure - Paris, UPMC - Université Pierre et Marie Curie - Paris 6, MINES ParisTech - École nationale supérieure des mines de Paris, Inria de Paris
Abstract : We propose a scheme to measure the parity of two distant qubits, while ensuring that losses on the quantum channel between them does not destroy coherences within the parity subspaces. This capability enables deterministic preparation of highly entangled qubit states whose fidelity is not limited by the transmission loss. The key observation is that for a probe electromagnetic field in a particular quantum state, namely a superposition of two coherent states of opposite phases, the transmission loss stochastically applies a near-unitary back-action on the probe state. This leads to a parity measurement protocol where the main effect of the transmission losses is a decrease in the measurement strength. By repeating the non-destructive (weak) parity measurement, one achieves a high-fidelity entanglement in spite of a significant transmission loss.
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Alain Sarlette, Mazyar Mirrahimi. Loss-tolerant parity measurement for distant quantum bits. Physical Review A, American Physical Society, 2017, 95 (3), ⟨10.1103/PhysRevA.95.032329⟩. ⟨hal-01395590v2⟩

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