Abstract

Large nonlinearity at the single-photon level can pave the way for the implementation of universal quantum gates. However, realizing large and noiseless nonlinearity at such low light levels has been a great challenge for scientists in the past decade. Here, we propose a scheme that enables substantial nonlinear interaction between two light fields that are both stored in an atomic memory. Semiclassical and quantum simulations demonstrate the feasibility of achieving large cross-phase modulation (XPM) down to the single-photon level. The proposed scheme can be used to implement parity gates from which CNOT gates can be constructed. Furthermore, we present a proof of principle experimental demonstration of XPM between two optical pulses: one stored and one freely propagating through the memory medium. Researchers have developed a new technique that shows promise for constructing optical quantum logic gates. Theoretical simulations performed by Mahdi Hosseini and co-workers from the Australian National University and Macquarie University in Australia show that inducing cross-phase modulation between two single-photon light fields stored in a rubidium atomic memory should provide large phase shifts and thus allow the realization of parity gates and CNOT gates, both of which are needed for quantum computing. The researchers estimate that using cold atoms confined in a dipole trap and short-duration single-photon wavepackets should make it possible to realize phase shifts of the order of 10 mrad — orders of magnitude larger than schemes that employ electromagnetically induced transparency.

Highlights

  • The optical Kerr effect is present in most materials but only becomes significant with very intense optical fields and/or long interaction times

  • We present a proof of principle experiment that shows XPM in a L gradient echo memory (L-GEM) system

  • The simulation show no change in the phase of the probe field as its intensity increased, showing immunity to self-phase modulation (SPM).[11]

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Summary

Introduction

The optical Kerr effect is present in most materials but only becomes significant with very intense optical fields and/or long interaction times. In the limit of extreme nonlinearity, individual photons could be persuaded to interact strongly with one another and induce crossphase modulation (XPM). This kind of interaction is a basis of the deterministic control-not gate and phase-not gates that lie at the heart of quantum computing algorithms.[1,2] In addition, a large XPM can be used for generation of cluster states, which are the basis for oneway quantum computing,[3,4,5] as well as for implementation of nonlinear optical switches.[6]. Optical fibers are an attractive XPM medium.[7]

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