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Showing 1–7 of 7 results
Advanced filters: Author: Toby S. Cubitt Clear advanced filters

  • Phase diagrams describe how a system changes phenomenologically as an external parameter, such as a magnetic field strength, is varied. Here, the authors prove that in general such a phase diagram is uncomputable, by explicitly constructing a one-parameter Hamiltonian for which this is the case.

    • Johannes Bausch
    • Toby S. Cubitt
    • James D. Watson
    ResearchOpen Access
    Nature Communications
    Volume: 12, P: 1-8

  • The spectral gap problem—whether the Hamiltonian of a quantum many-body problem is gapped or gapless—is rigorously proved to be undecidable; there exists no algorithm to determine whether an arbitrary quantum many-body model is gapped or gapless, and there exist models for which the presence or absence of a spectral gap is independent of the axioms of mathematics.

    • Toby S. Cubitt
    • David Perez-Garcia
    • Michael M. Wolf
    Research
    Nature
    Volume: 528, P: 207-211

  • The transmission of quantum information through channels is a fundamental step for future quantum communication technologies. Cubitt et al.now show that there exist channels whose potential for transmitting quantum information requires an unbounded number of usages to be detected.

    • Toby Cubitt
    • David Elkouss
    • Sergii Strelchuk
    Research
    Nature Communications
    Volume: 6, P: 1-4

  • Renormalisation group methods serve for finding analytic solutions, critical points and computing phase diagrams of many-body systems. Here the authors demonstrate that renormalisation group schemes can be constructed for undecidable many-body systems, giving rise to the types of renormalisation group flow which are strictly more unpredictable than chaotic flows.

    • James D. Watson
    • Emilio Onorati
    • Toby S. Cubitt
    ResearchOpen Access
    Nature Communications
    Volume: 13, P: 1-8

  • The way quantum simulation algorithms are translated into specific hardware implementations often translates into additional overhead. Here, the authors improve the efficiency of Hamiltonian simulation using a method that allows efficient synthesis of multi-qubit evolutions from two-qubit interactions.

    • Laura Clinton
    • Johannes Bausch
    • Toby Cubitt
    ResearchOpen Access
    Nature Communications
    Volume: 12, P: 1-10

  • The use of NISQ devices for useful quantum simulations of materials and chemistry is still mainly limited by the necessary circuit depth. Here, the authors propose to combine classically-generated effective Hamiltonians, hybrid fermion-to-qubit mapping and circuit optimisations to bring this requirement closer to experimental feasibility.

    • Laura Clinton
    • Toby Cubitt
    • Evan Sheridan
    ResearchOpen Access
    Nature Communications
    Volume: 15, P: 1-12

  • Turajlic and colleagues assess longitudinal antibody and cellular immune responses against SARS-CoV-2 variants of concern in patients with cancer, following either recovery from SARS-CoV-2 infection or vaccination, in two back-to-back reports from the CAPTURE study.

    • Annika Fendler
    • Lewis Au
    • Samra Turajlic
    ResearchOpen Access
    Nature Cancer
    Volume: 2, P: 1321-1337