000131886 001__ 131886
000131886 005__ 20240219150723.0
000131886 0247_ $$2doi$$a10.21468/SciPostPhys.15.5.186
000131886 0248_ $$2sideral$$a137069
000131886 037__ $$aART-2023-137069
000131886 041__ $$aeng
000131886 100__ $$aRoca-Jerat, Sebastián
000131886 245__ $$aCircuit Complexity through phase transitions: Consequences in quantum state preparation
000131886 260__ $$c2023
000131886 5060_ $$aAccess copy available to the general public$$fUnrestricted
000131886 5203_ $$aIn this paper, we analyze the circuit complexity for preparing ground states of quantum many-body systems. In particular, how this complexity grows as the ground state approaches a quantum phase transition. We discuss different definitions of complexity, namely the one following the Fubini-Study metric or the Nielsen complexity. We also explore different models: Ising, ZZXZ or Dicke. In addition, different forms of state preparation are investigated: analytic or exact diagonalization techniques, adiabatic algorithms (with and without shortcuts), and Quantum Variational Eigensolvers. We find that the divergence (or lack thereof) of the complexity near a phase transition depends on the non-local character of the operations used to reach the ground state. For Fubini-Study based complexity, we extract the universal properties and their critical exponents. In practical algorithms, we find that the complexity depends crucially on whether or not the system passes close to a quantum critical point when preparing the state. For both VQE and Adiabatic algorithms, we provide explicit expressions and bound the growth of complexity with respect to the system size and the execution time, respectively.
000131886 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000131886 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000131886 700__ $$aSancho-Lorente, Teresa
000131886 700__ $$0(orcid)0000-0003-2995-6615$$aRomán-Roche, Juan
000131886 700__ $$0(orcid)0000-0003-4478-1948$$aZueco, David
000131886 773__ $$g15, 5 (2023), [30 pp.]$$tSciPost physics$$x2542-4653
000131886 8564_ $$s570027$$uhttps://zaguan.unizar.es/record/131886/files/texto_completo.pdf$$yVersión publicada
000131886 8564_ $$s2049948$$uhttps://zaguan.unizar.es/record/131886/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000131886 909CO $$ooai:zaguan.unizar.es:131886$$particulos$$pdriver
000131886 951__ $$a2024-02-19-13:29:35
000131886 980__ $$aARTICLE