Quantum Information Scrambling: From Holography to Quantum Simulators

Bhattacharyya, Arpan; Joshi, Lata Kh; Sundar, Bhuvanesh

doi:10.48550/arxiv.2111.11945

Cited by 6 publications

(6 citation statements)

References 208 publications

(338 reference statements)

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“…Recently, this teleportation through wormhole has been shown to be thought of as information scrambling in a coupled chain of qubits [96]. Our work can set a useful benchmark via the measurement of thermal OTOCs for such 'quantum gravity in lab' ideas [97][98][99]. where y = e −βH/4 .…”

Section: Discussionmentioning

confidence: 95%

Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains

et al. 2022

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Information scrambling, which is the spread of local information through a system's many-body degrees of freedom, is an intrinsic feature of many-body dynamics. In quantum systems, the out-of-time-ordered correlator (OTOC) quantifies information scrambling. Motivated by experiments that have measured the OTOC at infinite temperature and a theory proposal to measure the OTOC at finite temperature using the thermofield double state, we describe a protocol to measure the OTOC in a finite temperature spin chain that is realized approximately as one half of the ground state of two moderately-sized coupled spin chains. We consider a spin Hamiltonian with particle-hole symmetry, for which we show that the OTOC can be measured without needing sign-reversal of the Hamiltonian. We describe a protocol to mitigate errors in the estimated OTOC, arising from the finite approximation of the system to the thermofield double state. We show that our protocol is also robust to main sources of decoherence in experiments.

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Section: Discussionmentioning

confidence: 95%

Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains

et al. 2022

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“…The review by Bhattacharyya, Joshi and Sundar [21] focuses on the recent progress in quantum simulations of various aspects of quantum black holes such as quantum information scrambling and information mirroring by black holes past their Page time, and also the teleportation protocols realized by traversable wormholes. This examines possibilities of learning new aspects of quantum gravity from such quantum simulators.…”

Section: Quantum Information and Gravitymentioning

confidence: 99%

Editorial: New frontiers in holographic duality

Mukhopadhyay

2022

Eur. Phys. J. C

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Over the last 25 years, holographic duality has revolutionised our understanding of gauge theories, quantum many-body systems and also quantum black holes. This topical issue is a collection of review articles on recent advances in fundamentals of holographic duality and its applications with special focus on a few areas where it is inter-disciplinary to a large measure. The aim is to provide a sufficient background on relevant phenomenology and other theoretical areas such as quantum information theory to researchers whose primary expertise is in quantum fields, strings and gravity, and also the necessary concepts and methods of holography to researchers in other fields, so that these recent developments could be grasped and hopefully further developed by a wider community. The topics relating to fundamental aspects include understanding of bulk spacetime reconstruction in holography in the framework of quantum error correction along with the spectacular advances in resolution of the information paradoxes of quantum black holes; quantum complexity and its fundamental role in connecting holography with quantum information theory; theoretical and experimental advances in quantum simulators for information mirroring and scrambling in quantum black holes, and teleportation via wormholes; and a pedagogical review on wormholes also. The topics related to applied holography include applications to hydrodynamic attractor and its phenomenological implications, modelling of equation of state of QCD matter in neutron stars, and finally estimating hadronic contribution to light-by-light scattering for theoretical computation of the muon’s $$g-2$$ g - 2 .

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“…Recent years have seen a fair amount of applications coming from quantum information theory into high energy physics and cosmology. [1][2][3][4][5][6] One such concept is complexity and chaos. [7][8][9][10] Complexity characterizes the notion of difficulty of preparing a state or applying a certain unitary operator while chaos quantifies the sensitivity of the system to the initial condition.…”

Section: Introductionmentioning

confidence: 99%

C${\cal C}$osmological K${\cal K}$rylov C${\cal C}$omplexity

Adhikari

Choudhury

2022

Fortschritte der Physik

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In this paper, we study the Krylov complexity (K) from the planar/inflationary patch of the de Sitter space using the two mode squeezed state formalism in the presence of an effective field having sound speed c s . From our analysis, we obtain the explicit behavior of Krylov complexity (K) and lancoz coefficients (b n ) with respect to the conformal time scale and scale factor in the presence of effective sound speed c s . Since lancoz coefficients (b n ) grow linearly with integer n, this suggests that universe acts like a chaotic system during this period. We also obtain the corresponding Lyapunov exponent 𝝀 in presence of effective sound speed c s . We show that the Krylov complexity (K) for this system is equal to average particle numbers suggesting it's relation to the volume. Finally, we give a comparison of Krylov complexity (K) with entanglement entropy (Von-Neumann) where we found that there is a large difference between Krylov complexity (K) and entanglement entropy for large values of squeezing amplitude. This suggests that Krylov complexity (K) can be a significant probe for studying the dynamics of the cosmological system even after the saturation of entanglement entropy.

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Quantum Information Scrambling: From Holography to Quantum Simulators

Cited by 6 publications

References 208 publications

Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains

Proposal for measuring out-of-time-ordered correlators at finite temperature with coupled spin chains

Editorial: New frontiers in holographic duality

C${\cal C}$osmological K${\cal K}$rylov C${\cal C}$omplexity

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