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Less-than comparison with a constant #318
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August 27, 2020 14:20
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| /// Dominic W. Berry, Craig Gidney, Mario Motta, Jarrod R. McClean, Ryan Babbush | ||
| /// Quantum 3, 208 (2019) | ||
| /// https://arxiv.org/abs/1902.02134v4 | ||
| operation LessThanConstantUsingRippleCarry(c : BigInt, x : LittleEndian, output : Qubit) |
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We can defer to API review, but I'd suggest maybe something like "CompareLessThanConstantUsingRippleCarry"?
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Sounds good, but we need further discussion because we also have CompareUsingRippleCarry at the moment.
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Good point; that can definitely create some confusion. Agreed with the need for further discussion.
Co-authored-by: Chris Granade <chgranad@microsoft.com>
…aries into msoeken/arithmetic
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Thanks for your feedback @cgranade, I have incorporated your comments. |
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This operation implements an optimised version of Fig. 17 in arXiv:1902.02134. Constant input bits are propagated into the circuits, and no qubits are allocated for them. Further optimisations are applied for trailing 0s in the bit representation of the constant. The circuit uses AND gates instead of Toffoli gates to further reduce costs.
API review is necessary for consistent naming of arithmetic operations (e.g., compare to
CompareUsingRippleCarrywhich performs greater-than comparison.)