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 …

Holographic spacetime, black holes and quantum error correcting codes: a review

T Kibe, P Mandayam, A Mukhopadhyay - The European Physical Journal …, 2022 - Springer
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 …

New class of quantum error-correcting codes for a bosonic mode

MH Michael, M Silveri, RT Brierley, VV Albert… - Physical Review X, 2016 - APS
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 …

Performance and structure of single-mode bosonic codes

VV Albert, K Noh, K Duivenvoorden, DJ Young… - Physical Review A, 2018 - APS
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 …

Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows

M Ippoliti, V Khemani - PRX Quantum, 2024 - APS
Monitored quantum dynamics—unitary evolution interspersed with measurements—has
recently emerged as a rich domain for phase structure in quantum many-body systems away …

Quantum error correction using squeezed Schrödinger cat states

DS Schlegel, F Minganti, V Savona - Physical Review A, 2022 - APS
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 …

From time-reversal symmetry to quantum Bayes' rules

AJ Parzygnat, J Fullwood - PRX Quantum, 2023 - APS
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 …

Quantum algorithm for Petz recovery channels and pretty good measurements

A Gilyén, S Lloyd, I Marvian, Y Quek, MM Wilde - Physical Review Letters, 2022 - APS
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 …

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 …

Pair-cat codes: autonomous error-correction with low-order nonlinearity

VV Albert, SO Mundhada, A Grimm… - Quantum Science …, 2019 - iopscience.iop.org
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 …