Topological edge modes without symmetry in quasiperiodically driven spin chains

Friedman, Aaron J.; Ware, Brayden; Vasseur, Romain; Potter, Andrew C.

doi:10.1103/physrevb.105.115117

Cited by 14 publications

(4 citation statements)

References 55 publications

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“…On the hardware side, stiff competition between quantum approaches [10] and their classical counterparts [426][427][428][429][430], and the potential that decoherence may not be tamed, together leave open the possibility that large quantum advantages or fault tolerant quantum computers may not be possible. However, a diverse and growing body of evidence-from recent work on novel, more efficient error correcting codes [114,116], early demonstrations of logical qubits [431][432][433] and the realization of dynamical topological phases [434,435], to the identification of significant operational quantum advantages in the energy required to perform computations [427,436]-gives much reason for optimism.…”

Section: Discussionmentioning

confidence: 99%

Biology and medicine in the landscape of quantum advantages

Cordier

Sawaya

Guerreschi

et al. 2022

J. R. Soc. Interface.

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Quantum computing holds substantial potential for applications in biology and medicine, spanning from the simulation of biomolecules to machine learning methods for subtyping cancers on the basis of clinical features. This potential is encapsulated by the concept of a quantum advantage, which is contingent on a reduction in the consumption of a computational resource, such as time, space or data. Here, we distill the concept of a quantum advantage into a simple framework to aid researchers in biology and medicine pursuing the development of quantum applications. We then apply this framework to a wide variety of computational problems relevant to these domains in an effort to (i) assess the potential of practical advantages in specific application areas and (ii) identify gaps that may be addressed with novel quantum approaches. In doing so, we provide an extensive survey of the intersection of biology and medicine with the current landscape of quantum algorithms and their potential advantages. While we endeavour to identify specific computational problems that may admit practical advantages throughout this work, the rapid pace of change in the fields of quantum computing, classical algorithms and biological research implies that this intersection will remain highly dynamic for the foreseeable future.

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Section: Discussionmentioning

confidence: 99%

Biology and medicine in the landscape of quantum advantages

Cordier

Sawaya

Guerreschi

et al. 2022

J. R. Soc. Interface.

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“…The digital simulation strategies of our experiments are capable of simulating a wide range of models hosting unconventional non-equilibrium topological phases. To illustrate this, we also implement two other dynamical SPT phases with our superconducting quantum processor: an FSPT phase in a periodically driven random Ising chain 4 and an emergent dynamical SPT (EDSPT) phase in a quasiperiodically driven chain 67 .…”

Section: Methodsmentioning

confidence: 99%

“…The EDSPT model has no microscopic symmetry (see refs. 45 , 67 and Supplementary Information VI.B ). The evolution of an initial state is realized by applying on it a sequence of evolution unitaries at Fibonacci times, , with F v being the v th element of the Fibonacci sequence.…”

Section: Methodsmentioning

confidence: 99%

“…The evolution of an initial state is realized by applying on it a sequence of evolution unitaries at Fibonacci times, , with F v being the v th element of the Fibonacci sequence. Although the underlying Hamiltonian of this model includes random fields breaking all microscopic symmetries, the evolution unitary possesses a locally dressed symmetry emergent from the quasiperiodic drive 45 , 67 . The emergent symmetry hosts two non-trivial edge modes, which can be manifested by the distinct dynamics of the edge spins.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Digital quantum simulation of Floquet symmetry-protected topological phases

Zhang

Jiang

Deng

et al. 2022

Nature

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Quantum many-body systems away from equilibrium host a rich variety of exotic phenomena that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete time crystals1–8, in which time-translational symmetry is spontaneously broken in periodically driven systems. Pioneering experiments have observed signatures of time crystalline phases with trapped ions9,10, solid-state spin systems11–15, ultracold atoms16,17 and superconducting qubits18–20. Here we report the observation of a distinct type of non-equilibrium state of matter, Floquet symmetry-protected topological phases, which are implemented through digital quantum simulation with an array of programmable superconducting qubits. We observe robust long-lived temporal correlations and subharmonic temporal response for the edge spins over up to 40 driving cycles using a circuit of depth exceeding 240 and acting on 26 qubits. We demonstrate that the subharmonic response is independent of the initial state, and experimentally map out a phase boundary between the Floquet symmetry-protected topological and thermal phases. Our results establish a versatile digital simulation approach to exploring exotic non-equilibrium phases of matter with current noisy intermediate-scale quantum processors21.

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