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We improve the Toffoli count of low depth quantum adders, and analyze how their spacetime cost reacts to having a limited number of magic state factories.
Algorithms for quantum computation: discrete logarithms and factoring
Peter W Shor · 1994
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Quantum carry-save arithmetic
Phil Gossett · 1998
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Addition on a quantum computer
Thomas G Draper · 2000
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A new quantum ripple-carry addition circuit
Steven A Cuccaro, Thomas G Draper, Samuel A Kutin, and David Petrie Moulton · 2004
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A logarithmic-depth quantum carry-lookahead adder
Thomas G. Draper, Samuel A. Kutin, Eric M. Rains, and Krysta M. Svore · 2004
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Universal quantum computation with ideal clifford gates and noisy ancillas
Sergey Bravyi and Alexei Kitaev · 2005
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Time-optimal quantum computation
Austin G Fowler · 2012
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Surface codes: Towards practical large-scale quantum computation
Austin G Fowler, Matteo Mariantoni, John M Martinis, and Andrew N Cleland · 2012
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Halving the cost of quantum addition
Craig Gidney · 2018
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Approximate encoded permutations and piecewise quantum adders
Craig Gidney · 2019
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Craig Gidney and Martin Ekerå · 2019
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Flexible layout of surface code computations using autoccz states
Craig Gidney and Austin G Fowler · 2019
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Magic state distillation: Not as costly as you think
Daniel Litinski · 2019
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Reversible in-place carry-lookahead addition with few ancillae
Torben Ægidius Mogensen · 2019
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Kento Oonishi, Tomoki Tanaka, Shumpei Uno, Takahiko Satoh, Rodney Van Meter, and Noboru Kunihiro · 2020
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Reverse-engineering the carry-lookahead circuit in the intel 8008 processor
Ken Shirriff · 2020
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Efficient magic state factories with a catalyzed | c c z ⟩ |ccz\rangle to 2 | t ⟩ 2|t\rangle transformation
Craig Gidney and Austin G Fowler · 2019
Cited alongside, same era.
Himanshu Thapliyal, Edgard Muñoz-Coreas, and Vladislav Khalus · 2020
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