90 citations · 230 across the 15 of their papers we have counts for
15 papers
Simulation of noisy quantum circuits using frame representations
Janek Denzler, Jose Carrasco, Jens Eisert +1
One of the core research questions in the theory of quantum computing is to find out to what precise extent the classical simulation of a noisy quantum circuits is possible and whe…
Prospects for quantum advantage in machine learning from the representability of functions
Sergi Masot-Llima, Elies Gil-Fuster, Carlos Bravo-Prieto +2
Demonstrating quantum advantage in machine learning tasks requires navigating a complex landscape of proposed models and algorithms. To bring clarity to this search, we introduce a…
Stability of digital and analog quantum simulations under noise
Jayant Rao, Jens Eisert, Tommaso Guaita
Quantum simulation is a central application of near-term quantum devices, pursued in both analog and digital architectures. A key challenge for both paradigms is the effect of impe…
Holonomic quantum computation: a scalable adiabatic architecture
Clara Wassner, Tommaso Guaita, Jens Eisert +1
Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we in…
Highly-entangled, highly-doped states that are efficiently cross-device verifiable
Janek Denzler, Santiago Varona, Tommaso Guaita +1
In this paper, we introduce a class of highly entangled real quantum states that cannot be approximated by circuits with -many non-Clifford gates and prove that Bell sampling…
Representation theory of Gaussian unitary transformations for bosonic and fermionic systems
Tommaso Guaita, Lucas Hackl, Thomas Quella
Gaussian unitary transformations are generated by quadratic Hamiltonians, i.e., Hamiltonians containing quadratic terms in creations and annihilation operators, and are heavily use…
On the locality of qubit encodings of local fermionic modes
Tommaso Guaita
Known mappings that encode fermionic modes into a bosonic qubit system are non-local transformations. In this paper we establish that this must necessarily be the case, if the loca…
Learning fermionic correlations by evolving with random translationally invariant Hamiltonians
Janek Denzler, Antonio Anna Mele, Ellen Derbyshire +2
Schemes of classical shadows have been developed to facilitate the read-out of digital quantum devices, but similar tools for analog quantum simulators are scarce and experimentall…
Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
Zongping Gong, Tommaso Guaita, J. Ignacio Cirac
We consider free fermions living on lattices in arbitrary dimensions, where hopping amplitudes follow a power-law decay with respect to the distance. We focus on the regime where t…
A Variational Ansatz for the Ground State of the Quantum Sherrington-Kirkpatrick Model
Paul M. Schindler, Tommaso Guaita, Tao Shi +2
We present an ansatz for the ground states of the Quantum Sherrington-Kirkpatrick model, a paradigmatic model for quantum spin glasses. Our ansatz, based on the concept of generali…
Topology of Quantum Gaussian States and Operations
Zongping Gong, Tommaso Guaita
As is well-known in the context of topological insulators and superconductors, short-range-correlated fermionic pure Gaussian states with fundamental symmetries are systematically…
Generalization of group-theoretic coherent states for variational calculations
Tommaso Guaita, Lucas Hackl, Tao Shi +2
We introduce new families of pure quantum states that are constructed on top of the well-known Gilmore-Perelomov group-theoretic coherent states. We do this by constructing unitari…
Geometry of variational methods: dynamics of closed quantum systems
Lucas Hackl, Tommaso Guaita, Tao Shi +3
We present a systematic geometric framework to study closed quantum systems based on suitably chosen variational families. For the purpose of (A) real time evolution, (B) excitatio…
Gaussian time dependent variational principle for the Bose-Hubbard model
Tommaso Guaita, Lucas Hackl, Tao Shi +3
We systematically extend Bogoliubov theory beyond the mean field approximation of the Bose-Hubbard model in the superfluid phase. Our approach is based on the time dependent variat…
On the (im)possibility of extending the GRW model to relativistic particles
Caitlin Jones, Tommaso Guaita, Angelo Bassi
Spontaneous collapse models are proposed modifications to quantum mechanics which aim to solve the measurement problem. In this article we will consider models which attempt to ext…