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 …
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 …
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 …
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 …
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 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 …
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 …
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 …