Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing

Hartmann, Andreas; Lechner, Wolfgang

doi:10.1088/1367-2630/ab14a0

Cited by 62 publications

(57 citation statements)

References 74 publications

(130 reference statements)

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“…[12]) to find an approximate CD potential for the quantum annealing of the p-spin model. This approach is very promising [34] and has been recently applied to other kinds of model Hamiltonians with p-body interactions [13]. Our results confirm these expectations.…”

Section: Discussionsupporting

confidence: 85%

Counterdiabatic driving in the quantum annealing of the p -spin model: A variational approach

Passarelli

Cataudella

Fazio

et al. 2020

Phys. Rev. Research

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Finding the exact counterdiabatic potential is, in principle, particularly demanding. Following recent progresses about variational strategies to approximate the counterdiabatic operator, in this paper we apply this technique to the quantum annealing of the p-spin model. In particular, for p = 3 we find a new form of the counterdiabatic potential originating from a cyclic ansatz, that allows us to have optimal fidelity even for extremely short dynamics, independently of the size of the system. We compare our results with a nested commutator ansatz, recently proposed in P. W. Claeys, M. Pandey, D. Sels, and A. Polkovnikov, Phys. Rev. Lett. 123, 090602 (2019), for p = 1 and p = 3. We also analyze generalized p-spin models to get a further insight into our ansatz. arXiv:1912.09711v1 [quant-ph]

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Section: Discussionsupporting

confidence: 85%

Counterdiabatic driving in the quantum annealing of the p -spin model: A variational approach

Passarelli

Cataudella

Fazio

et al. 2020

Phys. Rev. Research

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“…The Hamiltonian of the quantum annealing with the Λ-type system is given by Eqs. (1), (2), and (3), whereτ x,z are replaced with those given in (27). The success probability in the Λ-type system is found to be higher than that in the conventional spin-1/2 model when ε is small in the weak longitudinal magnetic field region, which is similar to the case of the quantum Wajnflasz-Pick model (Panels (a) and (b) in Fig.…”

Section: Discussionsupporting

confidence: 53%

Enhancing quantum annealing performance by a degenerate two-level system

Watabe

Seki

Kawabata

2020

Sci Rep

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Quantum annealing is an innovative idea and method for avoiding the increase of the calculation cost of the combinatorial optimization problem. Since the combinatorial optimization problems are ubiquitous, quantum annealing machine with high efficiency and scalability will give an immeasurable impact on many fields. However, the conventional quantum annealing machine may not have a high success probability for finding the solution because the energy gap closes exponentially as a function of the system size. To propose an idea for finding high success probability is one of the most important issues. Here we show that a degenerate two-level system provides the higher success probability than the conventional spin-1/2 model in a weak longitudinal magnetic field region. The physics behind this is that the quantum annealing in this model can be reduced into that in the spin-1/2 model, where the effective longitudinal magnetic field may open the energy gap, which suppresses the Landau-Zener tunneling providing leakage of the ground state. We also present the success probability of the Λ-type system, which may show the higher success probability than the conventional spin-1/2 model. arXiv:1906.11393v3 [cond-mat.stat-mech]

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“…The previous discussion can directly be generalized to many body systems. First we note that an optimal variational single-spin counter-diabatic protocol, which can be easily computed [35], can already be very efficient even in complex interacting systems [36] . Such variational protocols can be implemented through the Floquet fast forward driving proposed here.…”

Section: Discussionmentioning

confidence: 99%

Floquet-engineered quantum state manipulation in a noisy qubit

et al. 2019

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Adiabatic evolution is a common strategy for manipulating quantum states and has been employed in diverse fields such as quantum simulation, computation and annealing. However, adiabatic evolution is inherently slow and therefore susceptible to decoherence. Existing methods for speeding up adiabatic evolution require complex many-body operators or are difficult to construct for multi-level systems. Using the tools of Floquet engineering, we design a scheme for high-fidelity quantum state manipulation, utilizing only the interactions available in the original Hamiltonian. We apply this approach to a qubit and experimentally demonstrate its performance with the electronic spin of a Nitrogen-vacancy center in diamond. Our Floquet-engineered protocol achieves state preparation fidelity of 0.994 ± 0.004, on the same level as the conventional fast-forward protocol, but is more robust to external noise acting on the qubit. Floquet engineering provides a powerful platform for high-fidelity quantum state manipulation in complex and noisy quantum systems.

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Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing

Cited by 62 publications

References 74 publications

Counterdiabatic driving in the quantum annealing of the p -spin model: A variational approach

Counterdiabatic driving in the quantum annealing of the p -spin model: A variational approach

Enhancing quantum annealing performance by a degenerate two-level system

Floquet-engineered quantum state manipulation in a noisy qubit

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