Candidate for a passively-protected quantum memory in two dimensions

• URL: http://arxiv.org/abs/2205.09767v2
• Date: Mon, 18 Jul 2022 13:41:34 GMT
• Title: Candidate for a passively-protected quantum memory in two dimensions
• Abstract summary: A quantum memory stable against finite-temperature effects is only known in four spatial dimensions or higher. We propose a new model which appears to passively correct against both bit-flip and phase-flip errors in two dimensions.
• Score: 1.8667700177663704
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: An interesting problem in the field of quantum error correction involves finding a physical system that hosts a "passively-protected quantum memory," defined as an encoded qubit coupled to an environment that naturally wants to correct errors. To date, a quantum memory stable against finite-temperature effects is only known in four spatial dimensions or higher. Here, we take a different approach to realize a stable quantum memory by relying on a driven-dissipative environment. We propose a new model which appears to passively correct against both bit-flip and phase-flip errors in two dimensions: A square lattice composed of photonic "cat qubits" coupled via dissipative terms which tend to fix errors locally. Inspired by the presence of two distinct $\mathbb{Z}_2$-symmetry-broken phases, our scheme relies on Ising-like dissipators to protect against bit flips and on a driven-dissipative photonic environment to protect against phase flips.

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