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- W2950403921 abstract "We present an efficient addition circuit, borrowing techniques from classical carry-lookahead arithmetic. Our quantum carry-lookahead (QCLA) adder accepts two n-bit numbers and adds them in O(log n) depth using O(n) ancillary qubits. We present both in-place and out-of-place versions, as well as versions that add modulo 2^n and modulo 2^n - 1. Previously, the linear-depth ripple-carry addition circuit has been the method of choice. Our work reduces the cost of addition dramatically with only a slight increase in the number of required qubits. The QCLA adder can be used within current modular multiplication circuits to reduce substantially the run-time of Shor's algorithm." @default.
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- W2950403921 date "2006-07-01" @default.
- W2950403921 modified "2023-10-17" @default.
- W2950403921 title "A logarithmic-depth quantum carry-lookahead adder" @default.
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- W2950403921 doi "https://doi.org/10.26421/qic6.4-5-4" @default.
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