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 …
equivariant version of teleportation useful for constructing programmable quantum …
Joint measurability of quantum effects and the matrix diamond
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 …
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 …
for transmitting more than one unknown quantum state (or a composite quantum state) in …
The asymmetric quantum cloning region
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 …
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 …
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 …
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
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 …
compatibility of quantum measurements with an arbitrary number of outcomes. This …
RepLAB: A computational/numerical approach to representation theory
RepLAB: A Computational/Numerical Approach to Representation Theory | SpringerLink Skip to
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The compatibility dimension of quantum measurements
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 …
the largest dimension of a Hilbert space on which the given measurements are compatible …
A geometrical description of the universal asymmetric quantum cloning region
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 …
asymmetric quantum cloning problem. This concerns the quantum cloning of any quantum …