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 …

Quantum Computing for High-Energy Physics: State of the Art and Challenges

A Di Meglio, K Jansen, I Tavernelli, C Alexandrou… - PRX Quantum, 2024 - APS
Quantum computers offer an intriguing path for a paradigmatic change of computing in the
natural sciences and beyond, with the potential for achieving a so-called quantum …

Transitions in the learnability of global charges from local measurements

F Barratt, U Agrawal, AC Potter, S Gopalakrishnan… - Physical review …, 2022 - APS
We consider monitored quantum systems with a global conserved charge, and ask how
efficiently an observer (“eavesdropper”) can learn the global charge of such systems from …

Approximate autonomous quantum error correction with reinforcement learning

Y Zeng, ZY Zhou, E Rinaldi, C Gneiting, F Nori - Physical Review Letters, 2023 - APS
Autonomous quantum error correction (AQEC) protects logical qubits by engineered
dissipation and thus circumvents the necessity of frequent, error-prone measurement …

Complexity and order in approximate quantum error-correcting codes

J Yi, W Ye, D Gottesman, ZW Liu - Nature Physics, 2024 - nature.com
Some form of quantum error correction is necessary to produce large-scale fault-tolerant
quantum computers and finds broad relevance in physics. Most studies customarily assume …

No-go theorems for quantum resource purification: New approach and channel theory

K Fang, ZW Liu - PRX Quantum, 2022 - APS
It has been recently shown that there exist universal fundamental limits to the accuracy and
efficiency of the transformation from noisy resource states to pure ones (eg, distillation) in …

Linear programming with unitary-equivariant constraints

D Grinko, M Ozols - arXiv preprint arXiv:2207.05713, 2022 - arxiv.org
Unitary equivariance is a natural symmetry that occurs in many contexts in physics and
mathematics. Optimization problems with such symmetry can often be formulated as …

The mixed Schur transform: efficient quantum circuit and applications

QT Nguyen - arXiv preprint arXiv:2310.01613, 2023 - arxiv.org
The Schur transform, which block-diagonalizes the tensor representation $ U^{\otimes n} $
of the unitary group $\mathbf {U} _d $ on $ n $ qudits, is an important primitive in quantum …

Efficient Quantum Algorithm for Port-based Teleportation

J Fei, S Timmerman, P Hayden - arXiv preprint arXiv:2310.01637, 2023 - arxiv.org
In this paper, we provide the first efficient algorithm for port-based teleportation, a unitarily
equivariant version of teleportation useful for constructing programmable quantum …

Rotationally invariant circuits: Universality with the exchange interaction and two ancilla qubits

I Marvian, H Liu, A Hulse - Physical Review Letters, 2024 - APS
Universality of local unitary transformations is one of the cornerstones of quantum computing
with many applications and implications that go beyond this field. However, it has recently …