Group transformations and entangled-state quantum gates with directionally unbiased linear-optical multiports

Abstract

The concept of directionally unbiased optical multiports is introduced, in which photons may reflect back out the input direction. A linear-optical implementation is described, and the simplest three-port version studied. Symmetry arguments demonstrate potential for unusual quantum information processing applications. The devices impose group structures on two-photon entangled Bell states and act as universal Bell-state processors to implement probabilistic quantum gates acting on state symmetries. These multiports allow optical scattering experiments to be carried out on arbitrary undirected graphs via linear optics and raise the possibility of linear-optical information processing using group structures formed by optical qudit states.

To appear in Phys. Rev. A

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• Enhanced-sensitivity interferometry with phase-sensitive unbiased multiports
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• Joint Entanglement of Topology and Polarization Enables Error-Protected Quantum Registers
• Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports
• Higher-dimensional Hong-Ou-Mandel effect and state redistribution with linear-optical multiports
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• Experimental demonstration of a Grover-Michelson interferometer
• Directionally-Unbiased Unitary Optical Devices in Discrete-Time Quantum Walks
• Single-photon description of the lossless optical Y coupler
• Finite-element assembly approach of optical quantum walk networks
• Deterministic linear-optical computing with symmetry-based qubits
• Next-generation interferometry with gauge-invariant linear optical scatterers