Circuit Complexity for Coherent States
Minyong Guo,Minyong Guo,Juan Hernandez,Juan Hernandez,Robert C. Myers,Shan-Ming Ruan,Shan-Ming Ruan +6 more
TLDR
In this article, the circuit complexity of coherent states in a free scalar field theory was examined using Nielsen's geometric approach, and the complexity of the coherent states had the same UV divergences as the vacuum state complexity.Abstract:
We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen’s geometric approach as in [1]. The complexity of the coherent states have the same UV divergences as the vacuum state complexity and so we consider the finite increase of the complexity of these states over the vacuum state. One observation is that generally, the optimal circuits introduce entanglement between the normal modes at intermediate stages even though our reference state and target states are not entangled in this basis. We also compare our results from Nielsen’s approach with those found using the Fubini-Study method of [2]. For general coherent states, we find that the complexities, as well as the optimal circuits, derived from these two approaches, are different.read more
Citations
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Complexity and entanglement for thermofield double states
Shira Chapman,Shira Chapman,Jens Eisert,Lucas Hackl,Lucas Hackl,Lucas Hackl,Michal P. Heller,Ro Jefferson,Hugo Marrochio,Hugo Marrochio,Robert C. Myers +10 more
TL;DR: In this article, the complexity of circuit complexity for thermofield double (TFD) states in free scalar quantum field theories using the Nielsen approach has been investigated and it has been shown that the complexity evolves in time and saturates after a time of the order of the inverse temperature.
Journal ArticleDOI
Holographic complexity equals which action
Kanato Goto,Hugo Marrochio,Hugo Marrochio,Robert C. Myers,Leonel Queimada,Leonel Queimada,Beni Yoshida +6 more
TL;DR: In this paper, the complexity of a dyonic black hole is investigated, and it is shown that the late-time growth is sensitive to the ratio between electric and magnetic charges.
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Variational Thermal Quantum Simulation via Thermofield Double States
TL;DR: This work demonstrates that thermal states of the 1D classical Ising model at any temperature can be prepared with perfect fidelity using L/2 iterations, where L is system size.
Journal ArticleDOI
Circuit complexity in interacting QFTs and RG flows
TL;DR: In this paper, the circuit complexity for evolving from a nearly Gaussian unentangled reference state to the entangled ground state of the ϕ4 theory has been studied in the context of the Wilson-Fisher fixed point.
Journal ArticleDOI
Time evolution of complexity: a critique of three methods
TL;DR: In this article, the authors propose a testing procedure to distinguish between the different approaches for computing complexity and show that only circuit complexity obtained directly from the wave function is sensitive to time evolution, leaving them to claim that it surpasses the other approaches.
References
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