Squeezed comb states

Abstract

Continuous-variable codes are an expedient solution for quantum information processing and quantum communication involving optical networks. Here we characterize the squeezed comb, a finite superposition of equidistant squeezed coherent states on a line, and its properties as a continuous-variable encoding choice for a logical qubit. The squeezed comb is a realistic approximation to the ideal code proposed by Gottesman, Kitaev, and Preskill [Phys. Rev. A 64, 012310 (2001)], which is fully protected against errors caused by the paradigmatic types of quantum noise in continuous-variable systems: damping and diffusion. This is no longer the case for the code space of finite squeezed combs, and noise robustness depends crucially on the encoding parameters. We analyze finite squeezed comb states in phase space, highlighting their complicated interference features and characterizing their dynamics when exposed to amplitude damping and Gaussian diffusion noise processes. We find that squeezed comb state are more suitable and less error-prone when exposed to damping, which speaks against standard error correction strategies that employ linear amplification to convert damping into easier-to-describe isotropic diffusion noise.

arXiv comment10 pages, 10 figures

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Cited by in corpus (7)

• Quantum error correction using squeezed Schrödinger cat states
• Generation of optical Gottesman-Kitaev-Preskill states with cavity QED
• Fast simulation of bosonic qubits via Gaussian functions in phase space
• Phase-space methods for representing, manipulating, and correcting Gottesman-Kitaev-Preskill qubits
• Exact Solutions for Solitary Waves in a Bose-Einstein Condensate under the Action of a Four-Color Optical Lattice
• Riemannian optimization of photonic quantum circuits in phase and Fock space
• Resonant Schrödinger Cat States in Circuit Quantum Electrodynamics