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Quantum Error Correction Fault Tolerance

Resources for Measurement-Based Quantum Carry-Lookahead Adder

arXiv
Authors: Agung Trisetyarso, Rodney Van Meter, Kohei M. Itoh

Year

2009

Paper ID

9163

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

We present the design of a quantum carry-lookahead adder using measurement-based quantum computation. QCLA utilizes MBQC`s ability to transfer quantum states in unit time to accelerate addition. The quantum carry-lookahead adder (QCLA) is faster than a quantum ripple-carry adder; QCLA has logarithmic depth while ripple adders have linear depth. QCLA is an order of magnitude faster than a ripple-carry adder when adding registers longer than 100 qubits but requires a cluster state that is an order of magnitude larger. Hand optimization results in a approx 26% reduction in spatial resources for the circuit.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2009 reference point for readers tracking recent quantum research.
  • We present the design of a quantum carry-lookahead adder using measurement-based quantum computation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0901.3903 [2] arXiv https://arxiv.org/abs/0901.3903 [3] Publisher https://arxiv.org/abs/0901.3903

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