Detailed Fault Model for Physical Quantum Circuits

Quantum circuits have recently been developed thanks to the global companies like IBM, Google, Microsoft and Intel. The physical realization of quantum circuits motivates to explore new areas of research. Testing of quantum circuits is one such area which needs significant attention in order to detect faulty gate operations in the circuits. To this end, first we need to identify the different types of faults that can result due to some unwanted physical failures during the implementation of the gate operations. This paper investigates those possibilities of physical failures in realizing the quantum operations and introduces a new family of fault models for quantum circuits. Experimental results include the actual number of newly proposed faults that can occur at the physical level of any quantum circuit.

[1]  John P. Hayes,et al.  A Family of Logical Fault Models for Reversible Circuits , 2005, 14th Asian Test Symposium (ATS'05).

[2]  Isaac L. Chuang,et al.  Toward Quantum Computation: A Five-Qubit Quantum Processor , 2001, IEEE Micro.

[3]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[4]  Rachel Courtland,et al.  Google aims for quantum computing supremacy [News] , 2017 .

[5]  Tommaso Toffoli,et al.  Reversible Computing , 1980, ICALP.

[6]  M. Head‐Gordon,et al.  Simulated Quantum Computation of Molecular Energies , 2005, Science.

[7]  Niraj K. Jha,et al.  Optimized Quantum Gate Library for Various Physical Machine Descriptions , 2013, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[8]  A. N. Korotkov,et al.  Stabilizing Rabi oscillations in a superconducting qubit using quantum feedback , 2012, Nature.

[9]  J. Cirac,et al.  Quantum Computations with Cold Trapped Ions. , 1995, Physical review letters.

[10]  John P. Hayes,et al.  Testing for missing-gate faults in reversible circuits , 2004, 13th Asian Test Symposium.

[11]  S. Girvin,et al.  Charge-insensitive qubit design derived from the Cooper pair box , 2007, cond-mat/0703002.

[12]  John Preskill,et al.  Quantum Computing in the NISQ era and beyond , 2018, Quantum.

[13]  Robert Wille,et al.  Fault Ordering for Automatic Test Pattern Generation of Reversible Circuits , 2013, 2013 IEEE 43rd International Symposium on Multiple-Valued Logic.

[14]  Lov K. Grover A fast quantum mechanical algorithm for database search , 1996, STOC '96.

[15]  Blake R. Johnson,et al.  Simple all-microwave entangling gate for fixed-frequency superconducting qubits. , 2011, Physical review letters.

[16]  Andrew W. Cross,et al.  Implementing a strand of a scalable fault-tolerant quantum computing fabric , 2013, Nature Communications.

[17]  Peter W. Shor,et al.  Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer , 1995, SIAM Rev..