Reference frames, superselection rules, and quantum information

SD Bartlett, T Rudolph, RW Spekkens - Reviews of Modern Physics, 2007 - APS
Recently, there has been much interest in a new kind of “unspeakable” quantum information
that stands to regular quantum information in the same way that a direction in space or a …

[HTML][HTML] Quantum principal component analysis

S Lloyd, M Mohseni, P Rebentrost - Nature physics, 2014 - nature.com
The usual way to reveal properties of an unknown quantum state, given many copies of a
system in that state, is to perform measurements of different observables and to analyse the …

Theory for equivariant quantum neural networks

QT Nguyen, L Schatzki, P Braccia, M Ragone, PJ Coles… - PRX Quantum, 2024 - APS
Quantum neural network architectures that have little to no inductive biases are known to
face trainability and generalization issues. Inspired by a similar problem, recent …

Virtual distillation for quantum error mitigation

WJ Huggins, S McArdle, TE O'Brien, J Lee, NC Rubin… - Physical Review X, 2021 - APS
Contemporary quantum computers have relatively high levels of noise, making it difficult to
use them to perform useful calculations, even with a large number of qubits. Quantum error …

Fundamental limits of quantum error mitigation

R Takagi, S Endo, S Minagawa, M Gu - npj Quantum Information, 2022 - nature.com
The inevitable accumulation of errors in near-future quantum devices represents a key
obstacle in delivering practical quantum advantages, motivating the development of various …

Tapering off qubits to simulate fermionic Hamiltonians

S Bravyi, JM Gambetta, A Mezzacapo… - arxiv preprint arxiv …, 2017 - arxiv.org
We discuss encodings of fermionic many-body systems by qubits in the presence of
symmetries. Such encodings eliminate redundant degrees of freedom in a way that …

Open quantum systems with local and collective incoherent processes: Efficient numerical simulations using permutational invariance

N Shammah, S Ahmed, N Lambert, S De Liberato… - Physical Review A, 2018 - APS
The permutational invariance of identical two-level systems allows for an exponential
reduction in the computational resources required to study the Lindblad dynamics of …

The quantum illumination story

JH Shapiro - IEEE Aerospace and Electronic Systems …, 2020 - ieeexplore.ieee.org
Superposition and entanglement, the quintessential characteristics of quantum physics,
have been shown to provide communication, computation, and sensing capabilities that go …

Discriminating states: The quantum Chernoff bound

KMR Audenaert, J Calsamiglia, R Munoz-Tapia… - Physical review …, 2007 - APS
We consider the problem of discriminating two different quantum states in the setting of
asymptotically many copies, and determine the minimal probability of error. This leads to the …