Explicit reconstruction of the entanglement wedge via the Petz map

E Bahiru, N Vardian - Journal of High Energy Physics, 2023 - Springer
A bstract We revisit entanglement wedge reconstruction in AdS/CFT using the Petz recovery
channel. In the case of a spherical region on the boundary, we show that the Petz map …

The optical frequency comb as a one-way quantum computer

ST Flammia, NC Menicucci… - Journal of Physics B …, 2009 - iopscience.iop.org
In the one-way model of quantum computing, quantum algorithms are implemented using
only measurements on an entangled initial state. Much of the hard work is done upfront …

Renormalization group and approximate error correction

K Furuya, N Lashkari, M Moosa - Physical Review D, 2022 - APS
We show that in renormalization group (RG) flow the low-energy states form a code
subspace that is approximately protected against the local short-distance errors. To …

Toy model of boundary states with spurious topological entanglement entropy

K Kato, FGSL Brandão - Physical Review Research, 2020 - APS
Topological entanglement entropy has been extensively used as an indicator of
topologically ordered phases. We study the conditions needed for two-dimensional …

Eigenstate thermalization hypothesis and approximate quantum error correction

N Bao, N Cheng - Journal of High Energy Physics, 2019 - Springer
A bstract The eigenstate thermalization hypothesis (ETH) is a powerful conjecture for
understanding how statistical mechanics emerges in a large class of many-body quantum …

Non-commutative graphs and quantum error correction for a two-mode quantum oscillator

GG Amosov, AS Mokeev, AN Pechen - Quantum Information Processing, 2020 - Springer
An important topic in quantum information is the theory of error correction codes. Practical
situations often involve quantum systems with states in an infinite-dimensional Hilbert space …

Decoherence-free linear quantum subsystems

N Yamamoto - IEEE Transactions on Automatic Control, 2014 - ieeexplore.ieee.org
This paper provides a general theory for characterizing and constructing a decoherence-free
(DF) subsystem for an infinite dimensional linear open quantum system. The main idea is …

Private algebras in quantum information and infinite-dimensional complementarity

J Crann, DW Kribs, RH Levene… - Journal of Mathematical …, 2016 - pubs.aip.org
We introduce a generalized framework for private quantum codes using von Neumann
algebras and the structure of commutants. This leads naturally to a more general notion of …

Stabilizer Formalism for Operator Algebra Quantum Error Correction

G Dauphinais, DW Kribs, M Vasmer - Quantum, 2024 - quantum-journal.org
We introduce a stabilizer formalism for the general quantum error correction framework
called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's …

Quantum teleportation in the commuting operator framework

A Conlon, J Crann, DW Kribs, RH Levene - Annales Henri Poincaré, 2023 - Springer
We introduce a notion of teleportation scheme between subalgebras of semi-finite von
Neumann algebras in the commuting operator model of locality. Using techniques from …