Constant-overhead magic state distillation
Magic state distillation is a crucial yet resource-intensive process in fault-tolerant quantum
computation. The protocol's overhead, defined as the number of input magic states required …
computation. The protocol's overhead, defined as the number of input magic states required …
Magic state distillation and cost analysis in fault-tolerant universal quantum computation
Y Liu, Z Ma, L Luo, C Du, Y Fei, H Wang… - Quantum Science …, 2023 - iopscience.iop.org
Magic states have been widely studied in recent years as resource states that help quantum
computers achieve fault-tolerant universal quantum computing. The fault-tolerant quantum …
computers achieve fault-tolerant universal quantum computing. The fault-tolerant quantum …
Transversal diagonal logical operators for stabiliser codes
MA Webster, AO Quintavalle… - New Journal of Physics, 2023 - iopscience.iop.org
Storing quantum information in a quantum error correction code can protect it from errors,
but the ability to transform the stored quantum information in a fault tolerant way is equally …
but the ability to transform the stored quantum information in a fault tolerant way is equally …
Implementing fault-tolerant non-Clifford gates using the [[8, 3, 2]] color code
DH Menendez, A Ray, M Vasmer - arXiv preprint arXiv:2309.08663, 2023 - arxiv.org
Quantum computers promise to solve problems that are intractable for classical computers,
but qubits are vulnerable to many sources of error, limiting the depth of the circuits that can …
but qubits are vulnerable to many sources of error, limiting the depth of the circuits that can …
Triorthogonal codes and self-dual codes
Triorthogonal matrices were introduced in quantum information theory in connection with
distillation of magic states (Bravyi and Haah in Phys Rev A 86: 052329, 2012). We give an …
distillation of magic states (Bravyi and Haah in Phys Rev A 86: 052329, 2012). We give an …
High-distance codes with transversal Clifford and -gates
The non-local interactions in several quantum devices allow for the realization of more
compact quantum encodings while retaining the same degree of protection against noise …
compact quantum encodings while retaining the same degree of protection against noise …
The poset of binary CSS-T quantum codes and cyclic codes
E Camps-Moreno, HH López, GL Matthews… - arXiv preprint arXiv …, 2023 - arxiv.org
CSS-T codes were recently introduced as quantum error-correcting codes that respect a
transversal gate. A CSS-T code depends on a CSS-T pair, which is a pair of binary codes …
transversal gate. A CSS-T code depends on a CSS-T pair, which is a pair of binary codes …
Designing the quantum channels induced by diagonal gates
The challenge of quantum computing is to combine error resilience with universal
computation. Diagonal gates such as the transversal $ T $ gate play an important role in …
computation. Diagonal gates such as the transversal $ T $ gate play an important role in …
Secure multiparty quantum computation protocol for quantum circuits: The exploitation of triply even quantum error-correcting codes
PA Mishchenko, K Xagawa - Physical Review A, 2024 - APS
Secure multiparty quantum computation (MPQC) protocol is a cryptographic primitive
allowing error-free distributed quantum computation to a group of n mutually distrustful …
allowing error-free distributed quantum computation to a group of n mutually distrustful …
Implementing fault-tolerant non-Clifford gates using the [[8, 3, 2]] color code
Quantum computers promise to solve problems that are intractable for classical computers,
but qubits are vulnerable to many sources of error, limiting the depth of the circuits that can …
but qubits are vulnerable to many sources of error, limiting the depth of the circuits that can …