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Error mitigation with Clifford quantum-circuit data
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TLDR
A novel, scalable error-mitigation method that applies to gate-based quantum computers and obtains an order-of-magnitude error reduction for a ground-state energy problem on 16 qubits in an IBMQ quantum computer and on a 64-qubit noisy simulator.Abstract:
Achieving near-term quantum advantage will require accurate estimation of quantum observables despite significant hardware noise. For this purpose, we propose a novel, scalable error-mitigation method that applies to gate-based quantum computers. The method generates training data $\{X_i^{\text{noisy}},X_i^{\text{exact}}\}$ via quantum circuits composed largely of Clifford gates, which can be efficiently simulated classically, where $X_i^{\text{noisy}}$ and $X_i^{\text{exact}}$ are noisy and noiseless observables respectively. Fitting a linear ansatz to this data then allows for the prediction of noise-free observables for arbitrary circuits. We analyze the performance of our method versus the number of qubits, circuit depth, and number of non-Clifford gates. We obtain an order-of-magnitude error reduction for a ground-state energy problem on 16 qubits in an IBMQ quantum computer and on a 64-qubit noisy simulator.read more
Citations
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Variational Quantum Algorithms
Marco Cerezo,Marco Cerezo,Andrew Arrasmith,Andrew Arrasmith,Ryan Babbush,Simon C. Benjamin,Suguru Endo,Keisuke Fujii,Jarrod R. McClean,Kosuke Mitarai,Kosuke Mitarai,Xiao Yuan,Xiao Yuan,Lukasz Cincio,Lukasz Cincio,Patrick J. Coles,Patrick J. Coles +16 more
TL;DR: An overview of the field of Variational Quantum Algorithms is presented and strategies to overcome their challenges as well as the exciting prospects for using them as a means to obtain quantum advantage are discussed.
Journal ArticleDOI
Variational Quantum Algorithms
Marco Cerezo,Marco Cerezo,Andrew Arrasmith,Andrew Arrasmith,Ryan Babbush,Simon C. Benjamin,Suguru Endo,Keisuke Fujii,Jarrod R. McClean,Kosuke Mitarai,Kosuke Mitarai,Xiao Yuan,Xiao Yuan,Lukasz Cincio,Lukasz Cincio,Patrick J. Coles,Patrick J. Coles +16 more
TL;DR: Variational quantum algorithms (VQAs) as discussed by the authors use a classical optimizer to train a parameterized quantum circuit, which is a leading strategy to address the limitations of classical computers.
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References
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Supplementary information for "Quantum supremacy using a programmable superconducting processor"
Frank Arute,Kunal Arya,Ryan Babbush,Dave Bacon,Joseph C. Bardin,Rami Barends,Rupak Biswas,Sergio Boixo,Fernando G. S. L. Brandão,David A. Buell,B. Burkett,Yu Chen,Zijun Chen,Ben Chiaro,Roberto Collins,William Courtney,Andrew Dunsworth,Edward Farhi,Brooks Foxen,Austin G. Fowler,Craig Gidney,Marissa Giustina,R. Graff,Keith Guerin,Steve Habegger,Matthew P. Harrigan,Michael J. Hartmann,Alan Ho,Markus R. Hoffmann,Trent Huang,Travis S. Humble,Sergei V. Isakov,Evan Jeffrey,Zhang Jiang,Dvir Kafri,Kostyantyn Kechedzhi,Julian Kelly,Paul V. Klimov,Sergey Knysh,Alexander N. Korotkov,Fedor Kostritsa,David Landhuis,Mike Lindmark,Erik Lucero,Dmitry I. Lyakh,Salvatore Mandrà,Jarrod R. McClean,Matt McEwen,Anthony Megrant,Xiao Mi,Kristel Michielsen,Masoud Mohseni,Josh Mutus,Ofer Naaman,Matthew Neeley,Charles Neill,Murphy Yuezhen Niu,Eric Ostby,Andre Petukhov,John Platt,Chris Quintana,Eleanor Rieffel,Pedram Roushan,Nicholas C. Rubin,Daniel Sank,Kevin J. Satzinger,Vadim Smelyanskiy,Kevin Sung,Matthew D. Trevithick,Amit Vainsencher,Benjamin Villalonga,Theodore White,Z. Jamie Yao,Ping Yeh,Adam Zalcman,Hartmut Neven,John M. Martinis +76 more
TL;DR: In this paper, an updated version of supplementary information to accompany "Quantum supremacy using a programmable superconducting processor", an article published in the October 24, 2019 issue of Nature, is presented.
Journal ArticleDOI
Quantum Computing in the NISQ era and beyond
TL;DR: Noisy Intermediate-Scale Quantum (NISQ) technology will be available in the near future as mentioned in this paper, which will be useful tools for exploring many-body quantum physics, and may have other useful applications.
Journal ArticleDOI
A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo,Jarrod R. McClean,Peter Shadbolt,Man-Hong Yung,Xiao-Qi Zhou,Peter J. Love,Alán Aspuru-Guzik,Jeremy L. O'Brien +7 more
TL;DR: The proposed approach drastically reduces the coherence time requirements and combines this method with a new approach to state preparation based on ansätze and classical optimization, enhancing the potential of quantum resources available today and in the near future.
Journal ArticleDOI
Quantum Computing in the NISQ era and beyond
TL;DR: Noisy Intermediate-Scale Quantum (NISQ) technology will be available in the near future, and the 100-qubit quantum computer will not change the world right away - but it should be regarded as a significant step toward the more powerful quantum technologies of the future.
Journal ArticleDOI
Quantum supremacy using a programmable superconducting processor
Frank Arute,Kunal Arya,Ryan Babbush,Dave Bacon,Joseph C. Bardin,Joseph C. Bardin,Rami Barends,Rupak Biswas,Sergio Boixo,Fernando G. S. L. Brandão,Fernando G. S. L. Brandão,David A. Buell,B. Burkett,Yu Chen,Zijun Chen,Ben Chiaro,Roberto Collins,William Courtney,Andrew Dunsworth,Edward Farhi,Brooks Foxen,Brooks Foxen,Austin G. Fowler,Craig Gidney,Marissa Giustina,R. Graff,Keith Guerin,Steve Habegger,Matthew P. Harrigan,Michael J. Hartmann,Michael J. Hartmann,Alan Ho,Markus R. Hoffmann,Trent Huang,Travis S. Humble,Sergei V. Isakov,Evan Jeffrey,Zhang Jiang,Dvir Kafri,Kostyantyn Kechedzhi,Julian Kelly,Paul V. Klimov,Sergey Knysh,Alexander N. Korotkov,Alexander N. Korotkov,Fedor Kostritsa,David Landhuis,Mike Lindmark,E. Lucero,Dmitry I. Lyakh,Salvatore Mandrà,Jarrod R. McClean,Matt McEwen,Anthony Megrant,Xiao Mi,Kristel Michielsen,Kristel Michielsen,Masoud Mohseni,Josh Mutus,Ofer Naaman,Matthew Neeley,Charles Neill,Murphy Yuezhen Niu,Eric Ostby,Andre Petukhov,John Platt,Chris Quintana,Eleanor Rieffel,Pedram Roushan,Nicholas C. Rubin,Daniel Sank,Kevin J. Satzinger,Vadim Smelyanskiy,Kevin J. Sung,Kevin J. Sung,Matthew D. Trevithick,Amit Vainsencher,Benjamin Villalonga,Benjamin Villalonga,Theodore White,Z. Jamie Yao,Ping Yeh,Adam Zalcman,Hartmut Neven,John M. Martinis,John M. Martinis +85 more
TL;DR: Quantum supremacy is demonstrated using a programmable superconducting processor known as Sycamore, taking approximately 200 seconds to sample one instance of a quantum circuit a million times, which would take a state-of-the-art supercomputer around ten thousand years to compute.
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