Phase-noise limitations on single-photon cross-phase modulation with differing group velocities

Abstract

A framework is established for evaluating {\sc cphase} gates that use single-photon cross-phase modulation (XPM) originating from the Kerr nonlinearity. Prior work Phys. Rev. A {\bf 73,} 062305 (2006)], which assumed that the control and target pulses propagated at the same group velocity, showed that the causality-induced phase noise required by a non-instantaneous XPM response function precluded the possibility of high-fidelity $\pi$-radian conditional phase shifts. The framework presented herein incorporates the more realistic case of group-velocity disparity between the control and target pulses, as employed in existing XPM-based fiber-optical switches. Nevertheless, the causality-induced phase noise identified in [Phys. Rev. A {\bf 73,} 062305 (2006)] still rules out high-fidelity $\pi$-radian conditional phase shifts. This is shown to be so for both a reasonable theoretical model for the XPM response function and for the experimentally-measured XPM response function of silica-core fiber.

8 pages, 4 figures

References in corpus (12)

• Dark-State Polaritons in Electromagnetically Induced Transparency
• A Simple Quantum Computer
• Engineered Quantum Dot Single Photon Sources
• Impossibility of large phase shifts via the "giant Kerr effect" with single-photon wavepackets
• Observation of optical-fiber Kerr nonlinearity at the single-photon level
• High quantum-efficiency photon-number-resolving detector for photonic on-chip information processing
• Cross-Kerr nonlinearity between continuous-mode coherent states and single photons
• Two-photon dynamics in coherent Rydberg atomic ensemble
• Continuous-mode effects and photon-photon phase gate performance
• Photonic Nonlinearities via Quantum Zeno Blockade
• Uniform cross phase modulation for nonclassical radiation pulses
• Eight-fold signal amplification of a superconducting nanowire single-photon detector using a multiple-avalanche architecture

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