Entropic Complexity 13 For The Gue Ensemble Of The Time Evolved Tfd

Entropic Complexity 13 For The Gue Ensemble Of The Time Evolved Tfd In this article, we focus the more recently developed notion of the complexity associated with the spread of a state in the krylov basis under time evolution and called, appropriately enough. In this paper, we consider time evolution by gaussian unitary ensemble (gue) hamiltonians and analytically compute out of time ordered correlation functions (otocs) and frame potentials to quantify scrambling, haar randomness, and circuit complexity.

Entropic Complexity 13 For The Gue Ensemble Of The Time Evolved Tfd We propose a measure of quantum state complexity defined by minimizing the spread of the wave function over all choices of basis. our measure is controlled by the “survival amplitude” for a state. We propose a measure of quantum state complexity defined by minimizing the spread of the wave function over all choices of basis. our measure is controlled by the “survival amplitude” for a state to remain unchanged, and can be efficiently computed in theories with discrete spectra. In this paper, we consider time evolution by gaussian unitary ensemble (gue) hamiltonians and analytically compute out of time ordered correlation functions (otocs) and frame potentials to quantify scrambling, haar randomness, and circuit complexity. K design. we will nd that the frame potentials for the ensemble of unitaries generated by the gue can be written in terms of the spectral form factors discussed here, thereby allowing us to extract important time scales pertaining to k designs.

Entropic Complexity 13 For The Gue Ensemble Of The Time Evolved Tfd In this paper, we consider time evolution by gaussian unitary ensemble (gue) hamiltonians and analytically compute out of time ordered correlation functions (otocs) and frame potentials to quantify scrambling, haar randomness, and circuit complexity. K design. we will nd that the frame potentials for the ensemble of unitaries generated by the gue can be written in terms of the spectral form factors discussed here, thereby allowing us to extract important time scales pertaining to k designs. Our analysis of the disordered heisenberg spin 1 2 chain unravels that the ergodic to mbl transition can be determined from the transition of the pre saturation peak in the thermofield double state (tfd) spread complexity. Download scientific diagram | spread complexity of the time evolved tfd over an exponentially large period of time for different values of n and β, as described in the main text. In this appendix, we extend our analysis beyond the gaussian unitary ensemble (gue) in random matrix theory, generalizing previous conclusions about the time evolution of holographic and quantum complexity to broader classes of quantum chaotic systems. Download scientific diagram | quantum state complexity of the time evolved tfd over an exponentially large period of time for different values of n and β, as described in the main text.

Entropic Complexity 13 For The Gue Ensemble Of The Time Evolved Tfd Our analysis of the disordered heisenberg spin 1 2 chain unravels that the ergodic to mbl transition can be determined from the transition of the pre saturation peak in the thermofield double state (tfd) spread complexity. Download scientific diagram | spread complexity of the time evolved tfd over an exponentially large period of time for different values of n and β, as described in the main text. In this appendix, we extend our analysis beyond the gaussian unitary ensemble (gue) in random matrix theory, generalizing previous conclusions about the time evolution of holographic and quantum complexity to broader classes of quantum chaotic systems. Download scientific diagram | quantum state complexity of the time evolved tfd over an exponentially large period of time for different values of n and β, as described in the main text.

Quantum State Complexity Of The Time Evolved Tfd State In The Gse In this appendix, we extend our analysis beyond the gaussian unitary ensemble (gue) in random matrix theory, generalizing previous conclusions about the time evolution of holographic and quantum complexity to broader classes of quantum chaotic systems. Download scientific diagram | quantum state complexity of the time evolved tfd over an exponentially large period of time for different values of n and β, as described in the main text.