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An efficient quantum compiler that reduces T count

delete2018-09-12
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OA
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Luke Heyfron *
E
Earl T. Campbell
DOI:10.1088/2058-9565/aad604delete
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Abstract

Abstract

En 中文
Before executing a quantum algorithm, one must first decompose the algorithm into machine-level instructions compatible with the architecture of the quantum computer, a process known as quantum compiling. There are many different quantum circuit decompositions for the same algorithm but it is desirable to compile leaner circuits. A fundamentally important cost metric is the T count-the number of T gates in a circuit. For the single qubit case, optimal compiling is essentially a solved problem. However, multi-qubit compiling is a harder problem with optimal algorithms requiring classical runtime exponential in the number of qubits. Here, we present and compare several efficient quantum compilers for multi-qubit Clifford + T circuits. We implemented our compilers in C++ and benchmarked them on random circuits, from which we determine that our TODD compiler yields the lowest T counts on average. We also benchmarked TODD on a library of reversible logic circuits that appear in quantum algorithms and found that it reduced the T count for 97% of the circuits with an average T-count saving of 20% when compared against the best of all previous circuit decompositions.
Keywords:
quantum computation
gate synthesis
quantum compiler
quantum circuits
fault-tolerance
qubits
symmetric tensors
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Journal

Quantum Science and Technology cover
Quantum Science and Technology
IF:
5
Papers:
1.4K
Citations:
5.1K

Organization

U
University of Sheffield
Scholars:
3.0W
Papers: 2.9W
Citations: 3.9W