Fetching the paper…

Reading the bibliography…

2020

Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double

Su, Vincent Paul

Original
PDF
Post on X

Understand

We provide an algorithm for preparing the thermofield double (TFD) state of the Sachdev-Ye-Kitaev model without the need for an auxiliary bath.

Following previous work, the TFD can be cast as the approximate ground state of a Hamiltonian, $H_{\text{TFD}}$.
Using variational quantum circuits, we propose and implement a gradient-based algorithm for learning parameters that find this ground state, an application of the variational quantum eigensolver.
Concretely, we find quantum circuits that prepare the ground state of $H_{\text{TFD}}$ for the $q=4$ SYK model up to $N=12$.

Variational Preparation of the Sachdev-Ye-Kitaev Thermofield Double · Around

Built on

S. Sim, P. D. Johnson and A. Aspuru-Guzik, Expressibility and entangling capability of parameterized quantum circuits for hybrid quantum-classical algorithms , CoRR (2019) [ 1905.10876 ]
Original
1905
Earlier work this paper cites.
H. L. Tang, V. O. Shkolnikov, G. S. Barron, H. R. Grimsley, N. J. Mayhall, E. Barnes et al., Qubit-adapt-vqe: an adaptive algorithm for constructing hardware-efficient ansatze on a quantum processor , CoRR (2019) [ 1911.10205 ]
Original
1911
Earlier work this paper cites.
X.-Z. Luo, J.-G. Liu, P. Zhang and L. Wang, Yao.jl: Extensible, efficient framework for quantum algorithm design , CoRR (2019) [ 1912.10877 ]
Original
1912
Earlier work this paper cites.
J. Maldacena and A. Milekhin, Syk wormhole formation in real time , CoRR (2019) [ 1912.03276 ]
Original
1912
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin-fluid ground state in a random quantum heisenberg magnet , Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
J. M. Maldacena, The large n limit of superconformal field theories and supergravity , CoRR (1997) [ hep-th/9711200 ]
1997
Earlier work this paper cites.
S. B. Bravyi and A. Y. Kitaev, Fermionic quantum computation , Annals of Physics 298
2002
Earlier work this paper cites.
B. Kobrin, Z. Yang, G. D. Kahanamoku-Meyer, C. T. Olund, J. E. Moore, D. Stanford et al., Many-body chaos in the sachdev-ye-kitaev model , CoRR (2020) [ 2002.05725 ]
Original
2002
Earlier work this paper cites.
J. Maldacena, Eternal black holes in anti-de sitter , Journal of High Energy Physics 2003
2003
Earlier work this paper cites.
M. Nielsen, The fermionic canonical commutation relations and the jordan-wigner transform , 2005
2005
Earlier work this paper cites.
A. Skolik, J. R. McClean, M. Mohseni, P. v. d. Smagt and M. Leib, Layerwise learning for quantum neural networks , CoRR (2020) [ 2006.14904 ]
Original
2006
Earlier work this paper cites.
M. Nielsen and I. Chuang, Quantum Computation and Quantum Information . Cambridge: Cambridge University Press, 2010
2010
Earlier work this paper cites.
A. M. Childs and N. Wiebe, Hamiltonian simulation using linear combinations of unitary operations , CoRR (2012) [ 1202.5822 ]
Original
2012
Earlier work this paper cites.
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love et al., A variational eigenvalue solver on a quantum processor , CoRR (2013) [ 1304.3061 ]
Original
2013
Earlier work this paper cites.
S. H. Shenker and D. Stanford, Black holes and the butterfly effect , CoRR (2013) [ 1306.0622 ]
Original
2013
Earlier work this paper cites.

Similar

D. P. Kingma and J. Ba, Adam: a method for stochastic optimization , CoRR (2014) [ 1412.6980 ]
Original
2014
Cited alongside, same era.
A. Kitaev, A simple model of quantum holography , May, 2015
2015
Cited alongside, same era.
P. Hosur, X.-L. Qi, D. A. Roberts and B. Yoshida, Chaos in quantum channels , CoRR (2015) [ 1511.04021 ]
Original
2015
Cited alongside, same era.
J. Maldacena, S. H. Shenker and D. Stanford, A bound on chaos , CoRR (2015) [ 1503.01409 ]
Original
2015
Cited alongside, same era.
J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional nearly anti-de-sitter space , CoRR (2016) [ 1606.01857 ]
Original
2016

Then

J. Maldacena and X.-L. Qi, Eternal traversable wormhole , 2018
2018
Later among the works it cites.
J. Preskill, Quantum computing in the nisq era and beyond , Quantum 2
2018
Later among the works it cites.
K. Mitarai, M. Negoro, M. Kitagawa and K. Fujii, Quantum circuit learning , Physical Review A 98
2018
Later among the works it cites.
M. Innes, Flux: Elegant machine learning with julia , Journal of Open Source Software (2018)
2018
Later among the works it cites.
J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush and H. Neven, Barren plateaus in quantum neural network training landscapes , CoRR (2018) [ 1803.11173 ]
Original
2018
Later among the works it cites.
M. Bukov, Reinforcement learning for autonomous preparation of floquet-engineered states: Inverting the quantum kapitza oscillator , CoRR (2018) [ 1808.08910 ]

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

K. Jensen, Chaos in ads 2 holography , CoRR (2016) [ 1605.06098 ]

2016

Cited alongside, same era.

J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H. Shenker et al., Black holes and random matrices , CoRR (2016) [ 1611.04650 ]

2016

Cited alongside, same era.

S. Ruder, An overview of gradient descent optimization algorithms , CoRR (2016) [ 1609.04747 ]

2016

Cited alongside, same era.

L. García-Álvarez, I. L. Egusquiza, L. Lamata, A. d. Campo, J. Sonner and E. Solano, Digital quantum simulation of minimal ads/cft , CoRR (2016) [ 1607.08560 ]

2016

Cited alongside, same era.

P. Gao, D. L. Jafferis and A. C. Wall, Traversable wormholes via a double trace deformation , Journal of High Energy Physics 2017

2017

Cited alongside, same era.

J. Maldacena, D. Stanford and Z. Yang, Diving into traversable wormholes , Fortschritte der Physik 65

2017

Cited alongside, same era.

A. Kitaev and S. J. Suh, The soft mode in the sachdev-ye-kitaev model and its gravity dual , CoRR (2017) [ 1711.08467 ]

2017

Cited alongside, same era.

2018

Later among the works it cites.

M. Franz and M. Rozali, Mimicking black hole event horizons in atomic and solid-state systems , 2018

2018

Later among the works it cites.

R. Babbush, D. Berry and H. Neven, Quantum simulation of the sachdev-ye-kitaev model by asymmetric qubitization , CoRR (2018) [ 1806.02793 ]

2018

Later among the works it cites.

W. Cottrell, B. Freivogel, D. M. Hofman and S. F. Lokhande, How to build the thermofield double state , Journal of High Energy Physics 2019

2019

Later among the works it cites.

J. Wu and T. H. Hsieh, Variational thermal quantum simulation via thermofield double states , Physical Review Letters 123

2019

Later among the works it cites.

D. Zhu, S. Johri, N. M. Linke, K. A. Landsman, N. H. Nguyen, C. H. Alderete et al., Generation of thermofield double states and critical ground states with a quantum computer , 2019

2019

Later among the works it cites.

P. Gao and D. L. Jafferis, A traversable wormhole teleportation protocol in the syk model , 2019

2019

Later among the works it cites.

M. Schuld, V. Bergholm, C. Gogolin, J. Izaac and N. Killoran, Evaluating analytic gradients on quantum hardware , Physical Review A 99

2019

Later among the works it cites.

J. Martyn and B. Swingle, Product spectrum ansatz and the simplicity of thermal states , Physical Review A 100

2019

Later among the works it cites.