Abstract
We present a scheme to encode quantum information (single logical qubit information) into three-photon decoherence-free states, which can conserve quantum information from collective decoherence, via nonlinearly optical gates (using cross-Kerr nonlinearities: XKNLs) and linearly optical devices. For the preparation of the decoherence-free state, the nonlinearly optical gates (multi-photon gates) consist of weak XKNLs, quantum bus (qubus) beams, and photon-number-resolving (PNR) measurement. Then, by using a linearly optical device, quantum information can be encoded on three-photon decoherence-free state prepared. Subsequently, by our analysis, we show that the nonlinearly optical gates using XKNLs, qubus beams, and PNR measurement are robust against the decoherence effect (photon loss and dephasing) in optical fibers. Consequently, our scheme can be experimentally implemented to efficiently generate three-photon decoherence-free state encoded quantum information, in practice.
Highlights
In quantum information processing technologies[1,2,3,4,5,6,7,8,9,10,11,12,13], quantum information carriers are the most important components, but cannot avoid being influenced by unwanted interaction between the systems and the environment
We propose a scheme that can encode quantum information into three-photon decoherence-free states to obtain immunity against collective decoherence using nonlinearly optical gates and linearly optical devices
We can prevent evolution of the output state into the mixed state induced by the decoherence effect in optical fibers by nonlinearly optical gates consisting of XKNLs, qubus beams, and PNR measurements
Summary
If the probe beam on path b is measured by PNR measurement, the final state (single logical qubit information on three-photon decoherence-free states in Eq 2) is generated in accordance with the measurement outcome (PNR) with the error probability PeFrirn(=P1ersrt = Pe2rnrd = Pe3rrrd), as follows:. We have designed a scheme to encode quantum information into three-photon decoherence-free states (single logical qubit information) using nonlinearly optical gates (XKNLs, qubus beams, and PNR measurement) and linearly optical devices (50/50 BSs, PBSs, single photon operators, and an arbitrary-BS) for the resistance against collective decoherence. We should analyze the nonlinearly optical gates using XKNLs, qubus beams, and PNR measurement under the decoherence effect (photon loss and dephasing)[55,56,62]
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