Quantum error correction for quantum memories
BM Terhal - Reviews of Modern Physics, 2015 - APS
Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …
but experimentally challenging, engineering program for building a universal quantum …
Holographic spacetime, black holes and quantum error correcting codes: a review
This article reviews the progress in our understanding of the reconstruction of the bulk
spacetime in the holographic correspondence from the dual field theory including an …
spacetime in the holographic correspondence from the dual field theory including an …
New class of quantum error-correcting codes for a bosonic mode
We construct a new class of quantum error-correcting codes for a bosonic mode, which are
advantageous for applications in quantum memories, communication, and scalable …
advantageous for applications in quantum memories, communication, and scalable …
Performance and structure of single-mode bosonic codes
The early Gottesman, Kitaev, and Preskill (GKP) proposal for encoding a qubit in an
oscillator has recently been followed by cat-and binomial-code proposals. Numerically …
oscillator has recently been followed by cat-and binomial-code proposals. Numerically …
Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows
Monitored quantum dynamics—unitary evolution interspersed with measurements—has
recently emerged as a rich domain for phase structure in quantum many-body systems away …
recently emerged as a rich domain for phase structure in quantum many-body systems away …
Quantum error correction using squeezed Schrödinger cat states
Bosonic quantum codes redundantly encode quantum information in the states of a quantum
harmonic oscillator, making it possible to detect and correct errors. Schrödinger cat codes …
harmonic oscillator, making it possible to detect and correct errors. Schrödinger cat codes …
From time-reversal symmetry to quantum Bayes' rules
Bayes' rule, P (B| A) P (A)= P (A| B) P (B), is one of the simplest yet most profound,
ubiquitous, and far-reaching results of classical probability theory, with applications in any …
ubiquitous, and far-reaching results of classical probability theory, with applications in any …
Quantum algorithm for Petz recovery channels and pretty good measurements
The Petz recovery channel plays an important role in quantum information science as an
operation that approximately reverses the effect of a quantum channel. The pretty good …
operation that approximately reverses the effect of a quantum channel. The pretty good …
Axioms for retrodiction: achieving time-reversal symmetry with a prior
AJ Parzygnat, F Buscemi - Quantum, 2023 - quantum-journal.org
We propose a category-theoretic definition of retrodiction and use it to exhibit a time-reversal
symmetry for all quantum channels. We do this by introducing retrodiction families and …
symmetry for all quantum channels. We do this by introducing retrodiction families and …
Pair-cat codes: autonomous error-correction with low-order nonlinearity
We introduce a driven-dissipative two-mode bosonic system whose reservoir causes
simultaneous loss of two photons in each mode and whose steady states are superpositions …
simultaneous loss of two photons in each mode and whose steady states are superpositions …