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Practical approximation of single-qubit unitaries by single-qubit quantum Clifford and T circuits

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arxiv 1212.6964 v2 pith:MRMOHLRP submitted 2012-12-31 quant-ph cs.ET

Practical approximation of single-qubit unitaries by single-qubit quantum Clifford and T circuits

classification quant-ph cs.ET
keywords single-qubitimplementationquantumalgorithmalongapproximationcircuitsclifford
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present an algorithm, along with its implementation that finds T-optimal approximations of single-qubit Z-rotations using quantum circuits consisting of Clifford and T gates. Our algorithm is capable of handling errors in approximation down to size $10^{-15}$, resulting in optimal single-qubit circuit designs required for implementation of scalable quantum algorithms. Our implementation along with the experimental results are available in the public domain.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Magic Gate Teleportation: Structure, Useful Resource States, and Simpler Feedforward

    quant-ph 2026-07 accept novelty 7.0

    MGT protocols encode the input into a measurement-heralded stabilizer code then apply a logical non-Clifford gate; useful resource states are Clifford-equivalent to diagonal states, and feedforward can often be Pauli.

  2. Fast and Parallel High-Rate STAR Architecture for Megaquop Quantum Simulation

    quant-ph 2026-06 unverdicted novelty 6.0

    A symmetry-co-designed high-rate QEC architecture with parallel STAR injection on bivariate bicycle codes achieves ~5.5x space savings for TFIM and Fermi-Hubbard simulations versus surface-code STAR.