Abstract
Quantum error correction protects the quantum state against noise and decoherence in quantum communication and quantum computation, which enables one to perform fault-torrent quantum information processing. We experimentally demonstrate a quantum error correction scheme with a five-wave-packet code against a single stochastic error, the original theoretical model of which was firstly proposed by S. L. Braunstein and T. A. Walker. Five submodes of a continuous variable cluster entangled state of light are used for five encoding channels. Especially, in our encoding scheme the information of the input state is only distributed on three of the five channels and thus any error appearing in the remained two channels never affects the output state, i.e. the output quantum state is immune from the error in the two channels. The stochastic error on a single channel is corrected for both vacuum and squeezed input states and the achieved fidelities of the output states are beyond the corresponding classical limit.
Highlights
Quantum error correction protects the quantum state against noise and decoherence in quantum communication and quantum computation, which enables one to perform fault-torrent quantum information processing
The transmission of quantum states with high fidelity is an essential requirement for implementing quantum information processing with high quality
The aim of quantum error correction (QEC) is to eliminate or, at least, reduce the hazards resulting from the imperfect channels and to ensure transmission of quantum states with high fidelity[1]
Summary
With a vacuum input state and choosing the optimal gains of gi (i = 1, 2...6) the inseparability criteria will be satisfied for any non-zero squeezing of the ancilla modes In this case, the encoded five wave packets form a five-partite linear cluster entangled state. It is obvious that the input state and ancilla modes are recovered after the decoding stage and the errors are included in five output channels. If a syndrome mode does not contain the error in a certain channel, the DC output of the corresponding detector will be a straight line without any fluctuation. The output of D4 is a straight line because the syndrome mode d 4 does not contain the error in channel 1 (e1) We know that the error occurs in channels 3, 4 and 5 from the measured results in Fig. 2(c–e), respectively
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