scholarly journals Cross-Level Validation of Topological Quantum Circuits

2014 ◽  
pp. 189-200 ◽  
Author(s):  
Alexandru Paler ◽  
Simon Devitt ◽  
Kae Nemoto ◽  
Ilia Polian
Keyword(s):  
Quantum Circuits ◽  
Topological Quantum

scholarly journals Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 553
Author(s):  
Xiao Xiao ◽  
J. K. Freericks ◽  
A. F. Kemper
Keyword(s):  
Phase Diagrams ◽  
Fault Tolerant ◽  
Quantum Algorithms ◽  
Entanglement Entropy ◽  
Quantum Phase ◽  
Quantum Circuits ◽  
Quantum Computers ◽  
Quantum Model ◽  
Quantum Properties ◽  
Topological Quantum

Topological protection is employed in fault-tolerant error correction and in developing quantum algorithms with topological qubits. But, topological protection intrinsic to models being simulated, also robustly protects calculations, even on NISQ hardware. We leverage it by simulating Kitaev-inspired models on IBM quantum computers and accurately determining their phase diagrams. This requires constructing conventional quantum circuits for Majorana braiding to prepare the ground states of Kitaev-inspired models. The entanglement entropy is then measured to calculate the quantum phase boundaries. We show how maintaining particle-hole symmetry when sampling through the Brillouin zone is critical to obtaining high accuracy. This work illustrates how topological protection intrinsic to a quantum model can be employed to perform robust calculations on NISQ hardware, when one measures the appropriate protected quantum properties. It opens the door for further simulation of topological quantum models on quantum hardware available today.

A Bridge-based Compression Algorithm for Topological Quantum Circuits

2021 ◽  
Author(s):  
Chen-Hao Hsu ◽  
Wan-Hsuan Lin ◽  
Wei-Hsiang Tseng ◽  
Yao-Wen Chang
Keyword(s):  
Compression Algorithm ◽  
Quantum Circuits ◽  
Topological Quantum

scholarly journals Building topological quantum circuits: Majorana nanowire junctions

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Tudor D. Stanescu ◽  
Sankar Das Sarma
Keyword(s):  
Quantum Circuits ◽  
Topological Quantum

scholarly journals Parity-preserving and magnetic field–resilient superconductivity in InSb nanowires with Sn shells

Science ◽  
2021 ◽  
pp. eaba5211
Author(s):  
M. Pendharkar ◽  
B. Zhang ◽  
H. Wu ◽  
A. Zarassi ◽  
P. Zhang ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Indium Antimonide ◽  
Quantum Information Processing ◽  
Quantum Circuits ◽  
Small Island ◽  
Lattice Matching ◽  
Topological Quantum ◽  
Materials Used ◽  
Charging Effect

Improving materials used to make qubits is crucial to further progress in quantum information processing. Of particular interest are semiconductor-superconductor heterostructures that are expected to form the basis of topological quantum computing. We grow semiconductor indium antimonide nanowires that are coated with shells of tin of uniform thickness. No interdiffusion is observed at the interface between Sn and InSb. Tunnel junctions are prepared by in-situ shadowing. Despite the lack of lattice matching between Sn and InSb a 15 nm thick shell of tin is found to induce a hard superconducting gap, with superconductivity persisting in magnetic field up to 4T. A small island of Sn-InSb exhibits the two-electron charging effect. These findings suggest a less restrictive approach to fabricating superconducting and topological quantum circuits.

scholarly journals Topological quantum material simulated with superconducting quantum circuits

2018 ◽  
Vol 67 (22) ◽  
pp. 220302
Author(s):  
Yu Xiang-Min ◽  
Tan Xin-Sheng ◽  
Yu Hai-Feng ◽  
Yu Yang
Keyword(s):  
Quantum Circuits ◽  
Topological Quantum ◽  
Superconducting Quantum Circuits

scholarly journals Mapping of Topological Quantum Circuits to Physical Hardware

2014 ◽  
Vol 4 (1) ◽  
Author(s):  
Alexandru Paler ◽  
Simon J. Devitt ◽  
Kae Nemoto ◽  
Ilia Polian
Keyword(s):  
Quantum Circuits ◽  
Topological Quantum

Depth optimization for topological quantum circuits

2014 ◽  
Vol 14 (2) ◽  
pp. 447-463
Author(s):  
Mohammad AlFailakawi ◽  
Imtiaz Ahmad ◽  
Laila AlTerkawi ◽  
Suha Hamdan
Keyword(s):  
Quantum Circuits ◽  
Topological Quantum
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