A near deterministic linear optical CNOT gate

Abstract

We show how to construct a near deterministic CNOT using several single photons sources, linear optics, photon number resolving quantum non-demolition detectors and feed-forward. This gate does not require the use of massively entangled states common to other implementations and is very efficient on resources with only one ancilla photon required. The key element of this gate are non-demolition detectors that use a weak cross-Kerr nonlinearity effect to conditionally generate a phase shift on a coherent probe, if a photon is present in the signal mode. These potential phase shifts can then be measured using highly efficient homodyne detection.

4 pages, 3 figures

References in corpus (8)

• Quantum computation with optical coherent states
• Optical quantum computation using cluster states
• Probabilistic Quantum Logic Operations Using Polarizing Beam Splitters
• Experimental Controlled-NOT Logic Gate for Single Photons in the Coincidence Basis
• Realization of a photonic CNOT gate sufficient for quantum computation
• Deterministic linear optics quantum computation utilizing linked photon circuits
• A Note on Linear Optics Gates by Post-Selection
• Bounds on the Probability of Success of Postselected Non-linear Sign Shifts Implemented with Linear Optics

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