Capturing non-Markovian dynamics on near-term quantum computers

Head-Marsden, Kade; Krastanov, Stefan; Mazziotti, David A.; Narang, Prineha

doi:10.1103/physrevresearch.3.013182

Cited by 67 publications

(42 citation statements)

References 55 publications

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“…Although many quantum algorithms are known for the simulation of closed quantum systems, fewer studies have considered the simulation of open quantum systems despite their rich and interesting behavior [5]. Current approaches include using inherent qubit decoherence [6,7,8], direct simulation of an environment [9,10,11], implementing Kraus maps / Lindblad operators [12,13,14,15,16], variational techniques [17,18], and more [19,20]. Since Barreiro et al first demonstrated their open-system quantum simulator [21], current early-stage dissipative simulations of quantum systems in the areas of quantum chemistry and physics [19,12,7,22] have been completed.…”

Section: Introductionmentioning

confidence: 99%

Demonstrating robust simulation of driven-dissipative problems on near-term quantum computers

Rost,

Del Re,

Earnest

et al. 2021

Preprint

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Quantum computers are poised to revolutionize the simulation of quantum-mechanical systems in physics and chemistry. Current quantum computers execute their algorithms imperfectly, due to uncorrected noise, gate errors, and decoherence. This severely limits the size and scope of protocols which can be run on near-term quantum hardware. Much research has been focused on building more robust hardware to address this issue, however the advantages of more robust algorithms remains largely unexplored. Here we show that algorithms for solving the driven-dissipative many-body problem, among the hardest problems in quantum mechanics, are inherently robust against errors. We find it is possible to solve dissipative problems requiring deep circuits on current quantum devices due to the contractive nature of their time evolution maps. We simulate one thousand steps of time evolution for the non-interacting limit of the infinite driven-dissipative Hubbard model, calculate the current through the system and prepare a thermal state of the atomic limit of the Hubbard model. These problems were solved using circuits containing up to two thousand entangling gates on quantum computers made available by IBM, showing no signs of decreasing fidelity at long times. Our results demonstrate that algorithms for simulating dissipative problems are able to far out-perform similarly complex non-dissipative algorithms on noisy hardware. Our two algorithmic primitives are the basic building blocks of many condensedmatter-physics systems, and we anticipate their demonstrated robustness to hold when generalized to solve the full many-body driven-dissipative quantum problem. Building upon the algorithms presented here may prove to be the most promising approach to tackle important, classically intractable problems on quantum computers before error correction is available.

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Section: Introductionmentioning

confidence: 99%

Demonstrating robust simulation of driven-dissipative problems on near-term quantum computers

Rost,

Del Re,

Earnest

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, several algorithms have been proposed for the digital quantum simulation of open quantum systems on the basis of the Kraus decomposition of quantum channels [23][24][25][26][27] as well as variational descriptions of general processes to simulate the stochastic Schrödinger equation [1,7]. Simulation via Kraus decomposition is convenient when the Kraus operators corresponding to the time evolution of the system are known, such as modelling decoherence with amplitude damping or depolarizing channels.…”

Section: Introductionmentioning

confidence: 99%

Digital quantum simulation of open quantum systems using quantum imaginary time evolution

Kamakari,

Sun,

Motta

et al. 2021

Preprint

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Quantum simulation on emerging quantum hardware is a topic of intense interest. While many studies focus on computing ground state properties or simulating unitary dynamics of closed systems, open quantum systems are an interesting target of study owing to their ubiquity and rich physical behavior. However, their non-unitary dynamics are also not natural to simulate on nearterm quantum hardware. Here, we report algorithms for the digital quantum simulation of the dynamics of open quantum systems governed by a Lindblad equation using an adaptation of the quantum imaginary time evolution (QITE) algorithm. We demonstrate the algorithms on IBM Quantum's hardware with simulations of the spontaneous emission of a two level system and the dissipative transverse field Ising model. Our work shows that the dynamics of open quantum systems can be efficiently simulated on near-term quantum hardware.

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“…A recent emphasis has been using quantum computers to treat classically challenging chemistry and condensed matter problems [5][6][7][8][9]. Advances in near-term quantum hardware now make prototype versions of these simulations possible, for instance in the computation of the ground state properties of chemical [10][11][12][13][14][15][16][17] and solid-state [12,[18][19][20] quantum systems as well as simulation of their real-time dynamics for closed [21][22][23][24][25][26][27][28][29][30][31] and open [32][33][34][35][36][37][38] systems. Several recent studies have also reported the simulation of finite-temperature physics on near-term devices [39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Realizing symmetry-protected topological phases in a spin-1/2 chain with next-nearest neighbor hopping on superconducting qubits

Tan¹,

Tazhigulov²,

Chan³

et al. 2021

Preprint

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The realization of novel phases of matter on quantum simulators is a topic of intense interest.Digital quantum computers offer a route to prepare topological phases with interactions that do not naturally arise in analog quantum simulators. Here, we report the realization of symmetryprotected topological (SPT) phases of a spin-1/2 Hamiltonian with next-nearest-neighbor hopping on up to 11 qubits on a programmable superconducting quantum processor. We observe clear signatures of the two distinct SPT phases, such as excitations localized to specific edges and finite string order parameters. Our work advances ongoing efforts to realize novel states of matter with exotic interactions on digital near-term quantum computers.

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Capturing non-Markovian dynamics on near-term quantum computers

Cited by 67 publications

References 55 publications

Demonstrating robust simulation of driven-dissipative problems on near-term quantum computers

Demonstrating robust simulation of driven-dissipative problems on near-term quantum computers

Digital quantum simulation of open quantum systems using quantum imaginary time evolution

Realizing symmetry-protected topological phases in a spin-1/2 chain with next-nearest neighbor hopping on superconducting qubits

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