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We introduce conditionally clean ancilla qubits, a new quantum resource, recently explored by [NZS24], that bridges the gap between traditional clean and dirty ancillae.
“Surface codes: Towards practical large-scale quantum computation”
Austin. Fowler, Matteo Mariantoni, John. Martinis and Andrew. Cleland · 2012
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“Low-overhead constructions for the fault-tolerant Toffoli gate”
Cody Jones · 2013
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“Constructing Large Controlled Nots”, https://algassert.com, 2015
Craig Gidney · 2015
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“Constructing Large Increment Gates”, https://algassert.com, 2015
Craig Gidney · 2015
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“Factoring with n+2 clean qubits and n-1 dirty qubits”
Craig Gidney · 2017
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“Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity”
Ryan Babbush, Craig Gidney, Dominic. Berry, Nathan Wiebe, Jarrod McClean, Alexandru Paler, Austin Fowler and Hartmut Neven · 2018
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“Toward the first quantum simulation with quantum speedup”
Andrew. Childs, Dmitri Maslov, Yunseong Nam, Neil. Ross and Yuan Su · 2018
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“Halving the cost of quantum addition”
Craig Gidney · 2018
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“A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery”
Daniel Litinski · 2019
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“Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization”
Yuval. Sanders, Dominic. Berry, Pedro.S. Costa, Louis. Tessler, Nathan Wiebe, Craig Gidney, Hartmut Neven and Ryan Babbush · 2020
Cited alongside, same era.
“Even More Efficient Quantum Computations of Chemistry Through Tensor Hypercontraction”
Joonho Lee, Dominic. Berry, Craig Gidney, William. Huggins, Jarrod. McClean, Nathan Wiebe and Ryan Babbush · 2021
Cited alongside, same era.
“Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules”
Isaac. Kim, Ye-Hua Liu, Sam Pallister, William Pol, Sam Roberts and Eunseok Lee · 2022
Cited alongside, same era.
“How to compute a 256-bit elliptic curve private key with only 50 million Toffoli gates”
Daniel Litinski · 2023
Cited alongside, same era.
“Reducing the Number of Qubits in Quantum Factoring” https://eprint.iacr.org/2024/222 , Cryptology ePrint Archive, Paper 2024/222, 2024
Clémence Chevignard, Pierre-Alain Fouque and André Schrottenloher · 2024
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“Polylogarithmic-depth controlled-NOT gates without ancilla qubits”
Baptiste Claudon, Julien Zylberman, César Feniou, Fabrice Debbasch, Alberto Peruzzo and Jean-Philip Piquemal · 2024
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“Expressing and Analyzing Quantum Algorithms with Qualtran”
Matthew. Harrigan, Tanuj Khattar, Charles Yuan, Anurudh Peduri, Noureldin Yosri, Fionn. Malone, Ryan Babbush and Nicholas. Rubin · 2024
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“Quantum circuit for multi-qubit Toffoli gate with optimal resource”
Junhong Nie, Wei Zi and Xiaoming Sun · 2024
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“Quantum computation of stopping power for inertial fusion target design”
Nicholas. Rubin, Dominic. Berry, Alina Kononov, Fionn. Malone, Tanuj Khattar, Alec White, Joonho Lee, Hartmut Neven, Ryan Babbush and Andrew. Baczewski · 2024
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“Fault-Tolerant Quantum Simulation of Materials Using Bloch Orbitals”
Nicholas. Rubin, Dominic. Berry, Fionn. Malone, Alec. White, Tanuj Khattar, A. DePrince, Sabrina Sicolo, Michael Küehn, Michael Kaicher, Joonho Lee and Ryan Babbush · 2023
Cited alongside, same era.
“An improved QFT-based quantum comparator and extended modular arithmetic using one ancilla qubit”
Yewei Yuan, Chao Wang, Bei Wang, Zhao-Yun Chen, Meng-Han Dou, Yu-Chun Wu and Guo-Ping Guo · 2023
Cited alongside, same era.
“Quantifying fault tolerant simulation of strongly correlated systems using the Fermi-Hubbard model”
Anjali. Agrawal, Joshua Job, Tyler. Wilson, S.. Saadatmand, Mark. Hodson, Josh. Mutus, Athena Caesura, Peter. Johnson, Justin. Elenewski, Kaitlyn. Morrell and Alexander. Kemper · 2024
Cited alongside, same era.
“Efficient Implementation of Multi-Controlled Quantum Gates”
Ben Zindorf and Sougato Bose · 2024
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“Unified Architecture for a Quantum Lookup Table”
Shuchen Zhu, Aarthi Sundaram and Guang Low · 2024
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