Mitiq: A software package for error mitigation on noisy quantum computers

LaRose, Ryan; Mari, Andrea; Kaiser, Sarah; Karalekas, Peter J.; Alves, Andre A.; Czarnik, Piotr; Mandouh, Mohamed El; Gordon, Max Hunter; Hindy, Yousef; Robertson, Aaron; Thakre, Purva; Wahl, Misty; Samuel, Danny; Mistri, Rahul; Tremblay, Maxime; Gardner, Nick; Stemen, Nathaniel T.; Shammah, Nathan; Zeng, William J.

doi:10.22331/q-2022-08-11-774

Cited by 73 publications

(23 citation statements)

References 67 publications

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“…We next consider depolarizing noise and apply zero-noise extrapolation based on linear fitting using the Mitiq package 90 to mitigate noise, as shown in Fig. 6(b) .…”

Section: Simulation With Noisementioning

confidence: 99%

Toward practical quantum embedding simulation of realistic chemical systems on near-term quantum computers

Huang²,

Cao³

et al. 2022

Chem. Sci.

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“…We next consider depolarizing noise and apply zero-noise extrapolation based on linear fitting using the Mitiq package 90 to mitigate noise, as shown in Fig. 6(b) .…”

Section: Simulation With Noisementioning

confidence: 99%

Toward practical quantum embedding simulation of realistic chemical systems on near-term quantum computers

Huang²,

Cao³

et al. 2022

Chem. Sci.

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“…In this work we implemented three techniques: zero-noise extrapolation (ZNE) [56], Clifford data regression (CDR) [57] and variable noise Clifford data regression (vnCDR) [58]. We used the open source software package Mitiq [59] to execute these methods. For more details regarding the implementation of these techniques we refer the reader to Appendix H.…”

Section: Plane Waves On Quantum Hardwarementioning

confidence: 99%

Algebraic Bethe Circuits

Sopena

Gordon

Sierra

et al. 2022

Quantum

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The Algebraic Bethe Ansatz (ABA) is a highly successful analytical method used to exactly solve several physical models in both statistical mechanics and condensed-matter physics. Here we bring the ABA into unitary form, for its direct implementation on a quantum computer. This is achieved by distilling the non-unitary R matrices that make up the ABA into unitaries using the QR decomposition. Our algorithm is deterministic and works for both real and complex roots of the Bethe equations. We illustrate our method on the spin-12 XX and XXZ models. We show that using this approach one can efficiently prepare eigenstates of the XX model on a quantum computer with quantum resources that match previous state-of-the-art approaches. We run small-scale error-mitigated implementations on the IBM quantum computers, including the preparation of the ground state for the XX and XXZ models on 4 sites. Finally, we derive a new form of the Yang-Baxter equation using unitary matrices, and also verify it on a quantum computer.

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“…By measuring how the measured probabilities change, one can extrapolate backwards to the theoretical 'zero noise' case. Unfortunately, the depth of the circuit is already so large that it does not work: it does not converge or else returns unrealistic results, at least when attempted with the software library Mitiq [56].…”

Section: Experiments In Ibmq Casablanca a Experimental Setupmentioning

confidence: 99%

QFold: quantum walks and deep learning to solve protein folding

Casares

Campos

Martín-Delgado

2022

Quantum Sci. Technol.

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We develop quantum computational tools to predict the 3D structure of proteins, one of the most important problems in current biochemical research. We explain how to combine recent deep learning advances with the well known technique of quantum walks applied to a Metropolis algorithm. The result, QFold, is a fully scalable hybrid quantum algorithm that, in contrast to previous quantum approaches, does not require a lattice model simplification and instead relies on the much more realistic assumption of parameterization in terms of torsion angles of the amino acids. We compare it with its classical analog for different annealing schedules and find a polynomial quantum advantage, and implement a minimal realization of the quantum Metropolis in IBMQ Casablanca quantum system.

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Mitiq: A software package for error mitigation on noisy quantum computers

Cited by 73 publications

References 67 publications

Toward practical quantum embedding simulation of realistic chemical systems on near-term quantum computers

Toward practical quantum embedding simulation of realistic chemical systems on near-term quantum computers

Algebraic Bethe Circuits

QFold: quantum walks and deep learning to solve protein folding

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