Giulia Mazzola


Last Name

Mazzola

First Name

Giulia

ORCID

0000-0002-0963-5518

Organisational unit

03781 - Renner, Renato / Renner, Renato

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2021 - 20253
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Publications 1 - 3 of 3
  • Gauge invariant quantum circuits for U(1) and Yang-Mills lattice gauge theories
    Item type: Working Paper
    Mazzola, Giulia; Mathis, Simon V.; Mazzola, Guglielmo; et al. (2021)
    arXiv
    Quantum computation represents an emerging framework to solve lattice gauge theories (LGT) with arbitrary gauge groups, a general and long-standing problem in computational physics. While quantum computers may encode LGT using only polynomially increasing resources, a major openissue concerns the violation of gauge-invariance during the dynamics and the search for groundstates. Here, we propose a new class of parametrized quantum circuits that can represent states belonging only to the physical sector of the total Hilbert space. This class of circuits is compact yet flexible enough to be used as a variational ansatz to study ground state properties, as well as representing states originating from a real-time dynamics. Concerning the first application, the structure of the wavefunction ansatz guarantees the preservation of physical constraints such as the Gauss law along the entire optimization process, enabling reliable variational calculations. As for the second application, this class of quantum circuits can be used in combination with timedependent variational quantum algorithms, thus drastically reducing the resource requirements to access dynamical properties.
  • Gauge-invariant quantum circuits for U(1) and Yang-Mills lattice gauge theories
    Item type: Journal Article
    Mazzola, Giulia; Mathis, Simon V.; Mazzola, Guglielmo; et al. (2021)
    Physical Review Research
    Quantum computation represents an emerging framework to solve lattice gauge theories (LGTs) with arbitrary gauge groups, a general and long-standing problem in computational physics. While quantum computers may encode LGTs using only polynomially increasing resources, a major open issue concerns the violation of gauge invariance during the dynamics and the search for ground states. Here, we propose a class of parametrized quantum circuits that can represent states belonging only to the physical sector of the total Hilbert space. This class of circuits is compact yet flexible enough to be used as a variational Ansatz to study ground-state properties, as well as representing states originating from a real-time dynamics. Concerning the first application, the structure of the wavefunction Ansatz guarantees the preservation of physical constraints such as the Gauss law along the entire optimization process, enabling reliable variational calculations. As for the second application, this class of quantum circuits can be used in combination with time-dependent variational quantum algorithms, thus drastically reducing the resource requirements to access dynamical properties.
  • Uhlmanns Theorem for Relative Entropies
    Item type: Journal Article
    Mazzola, Giulia; Sutter, David; Renner, Renato (2025)
    IEEE Transactions on Information Theory
    Uhlmann’s theorem states that, for any two quantum states ρAB and σA , there exists an extension σAB of σA such that the fidelity between ρAB and σAB equals the fidelity between their reduced states ρA and σA . In this work, we generalize Uhlmann’s theorem to α -Rényi relative entropies for α∈[12,∞] , a family of divergences that encompasses fidelity, relative entropy, and max-relative entropy corresponding to α=12 , α=1 , and α=∞ , respectively.
Publications 1 - 3 of 3