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 …

Joint measurability of quantum effects and the matrix diamond

A Bluhm, I Nechita - Journal of Mathematical Physics, 2018 - pubs.aip.org
In this work, we investigate the joint measurability of quantum effects and connect it to the
study of free spectrahedra. Free spectrahedra typically arise as matricial relaxations of linear …

Efficient multi port-based teleportation schemes

M Studziński, M Mozrzymas, P Kopszak… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
In this manuscript we analyse generalised port-based teleportation (PBT) schemes, allowing
for transmitting more than one unknown quantum state (or a composite quantum state) in …

The asymmetric quantum cloning region

I Nechita, C Pellegrini, D Rochette - Letters in Mathematical Physics, 2023 - Springer
Quantum cloning is a fundamental protocol of quantum information theory. Perfect universal
quantum cloning is prohibited by the laws of quantum mechanics, only imperfect copies …

Matrix integrals over unitary groups: An application of Schur-Weyl duality

L Zhang - arXiv preprint arXiv:1408.3782, 2014 - arxiv.org
The integral formulae over the unitary group $\unitary {d} $ are reviewed with new results
and new proofs. The normalization and the bi-invariance of the uniform Haar measure play …

A simplified formalism of the algebra of partially transposed permutation operators with applications

M Mozrzymas, M Studziński… - Journal of Physics A …, 2018 - iopscience.iop.org
Herein we continue the study of the representation theory of the algebra of permutation
operators acting on the $ n $-fold tensor product space, partially transposed on the last …

Compatibility of quantum measurements and inclusion constants for the matrix jewel

A Bluhm, I Nechita - SIAM Journal on Applied Algebra and Geometry, 2020 - SIAM
In this work, we establish the connection between the study of free spectrahedra and the
compatibility of quantum measurements with an arbitrary number of outcomes. This …

RepLAB: A computational/numerical approach to representation theory

D Rosset, F Montealegre-Mora, JD Bancal - Quantum Theory and …, 2021 - Springer
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The compatibility dimension of quantum measurements

F Loulidi, I Nechita - Journal of Mathematical Physics, 2021 - pubs.aip.org
We introduce the notion of compatibility dimension for a set of quantum measurements: it is
the largest dimension of a Hilbert space on which the given measurements are compatible …

A geometrical description of the universal  asymmetric quantum cloning region

I Nechita, C Pellegrini, D Rochette - Quantum Information Processing, 2021 - Springer
We consider the problem of determining the achievable region of the universal 1 → 2 1→ 2
asymmetric quantum cloning problem. This concerns the quantum cloning of any quantum …