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Paper 1

Resources for Measurement-Based Quantum Carry-Lookahead Adder

Agung Trisetyarso, Rodney Van Meter, Kohei M. Itoh

Year
2009
Journal
arXiv preprint
DOI
arXiv:0901.3903
arXiv
0901.3903

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.

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Paper 2

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