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 …
Diagonal gates in the Clifford hierarchy
The Clifford hierarchy is a set of gates that appears in the theory of fault-tolerant quantum
computation, but its precise structure remains elusive. We give a complete characterization …
computation, but its precise structure remains elusive. We give a complete characterization …
No quantum solutions to linear constraint systems in odd dimension from Pauli group and diagonal Cliffords
M Frembs, C Okay, HY Chung - Quantum, 2025 - quantum-journal.org
Linear constraint systems (LCS) have proven to be a surprisingly prolific tool in the study of
non-classical correlations and various related issues in quantum foundations. Many results …
non-classical correlations and various related issues in quantum foundations. Many results …
Qutrit and ququint magic states
A Jain, S Prakash - Physical Review A, 2020 - APS
Nonstabilizer eigenstates of Clifford operators are natural candidates for endpoints of magic-
state distillation routines. We provide an explicit bestiary of all inequivalent nonstabilizer …
state distillation routines. We provide an explicit bestiary of all inequivalent nonstabilizer …
Multipartite Nonlocality in Clifford Networks
We adopt a resource-theoretic framework to classify different types of quantum network
nonlocality in terms of operational constraints placed on the network. One type of constraint …
nonlocality in terms of operational constraints placed on the network. One type of constraint …
Approximate stabilizer rank and improved weak simulation of Clifford-dominated circuits for qudits
Bravyi and Gosset [S. Bravyi and D. Gosset, Phys. Rev. Lett. 116, 250501 (2016) PRLTAO
0031-9007 10.1103/PhysRevLett. 116.250501] recently gave classical simulation algorithms …
0031-9007 10.1103/PhysRevLett. 116.250501] recently gave classical simulation algorithms …
Magic state distillation with the ternary Golay code
S Prakash - Proceedings of the Royal Society A, 2020 - royalsocietypublishing.org
The ternary Golay code—one of the first and most beautiful classical error-correcting codes
discovered—naturally gives rise to an 11-qutrit quantum error correcting code. We apply this …
discovered—naturally gives rise to an 11-qutrit quantum error correcting code. We apply this …
Bipartite Bell inequalities with three ternary-outcome measurements—from theory to experiments
We explore quantum nonlocality in one of the simplest bipartite scenarios. Several new facet-
defining Bell inequalities for the $\{[3\; 3\; 3]\;[3\; 3\; 3]\} $ scenario are obtained with their …
defining Bell inequalities for the $\{[3\; 3\; 3]\;[3\; 3\; 3]\} $ scenario are obtained with their …
Minimum and maximum quantum uncertainty states for qubit systems
H Li, S Luo, Y Zhang - Journal of Physics A: Mathematical and …, 2024 - iopscience.iop.org
We introduce the notion of (renormalized) quantum uncertainty and reveal its basic features.
In terms of this quantity, we completely characterize the minimum and maximum quantum …
In terms of this quantity, we completely characterize the minimum and maximum quantum …
Characterizing stabilizer states and H-type magic states via uncertainty relations
H Li, S Luo, Y Zhang - The European Physical Journal Plus, 2024 - Springer
Although the conventional Heisenberg uncertainty relations have been extensively studied,
there are still many interesting features related to uncertainty awaiting for exploring. In this …
there are still many interesting features related to uncertainty awaiting for exploring. In this …