Coherent state LOQC gates using simplified diagonal superposition resource states

Abstract

In this paper we explore the possibility of fundamental tests for coherent state optical quantum computing gates [T. C. Ralph, et. al, Phys. Rev. A \textbf{68}, 042319 (2003)] using sophisticated but not unrealistic quantum states. The major resource required in these gates are state diagonal to the basis states. We use the recent observation that a squeezed single photon state ($\hat{S}(r)|1⟩$) approximates well an odd superposition of coherent states ($|\alpha ⟩-|-\alpha ⟩$) to address the diagonal resource problem. The approximation only holds for relatively small $\alpha$ and hence these gates cannot be used in a scaleable scheme. We explore the effects on fidelities and probabilities in teleportation and a rotated Hadamard gate.

21 pages, 12 figures

References in corpus (4)

• Quantum computation with optical coherent states
• Non-gaussian statistics from individual pulses of squeezed light
• Conditional Production of Superpositions of Coherent States with Inefficient Photon Detection
• Comparison of LOQC C-sign gates with ancilla inefficiency and an improvement to functionality under these conditions

Cited by in corpus (3)

• Teleportation using squeezed single photons
• Engineering continuous and discrete variable quantum vortex states by nonlocal photon subtraction in a reconfigurable photonic chip
• Scalable Optical Quantum State Synthesizer with Dual-Mode Resonator Memory