Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer

• URL: http://arxiv.org/abs/2402.12661v3
• Date: Sun, 11 Aug 2024 00:43:28 GMT
• Title: Dynamics of Symmetry-Protected Topological Matter on a Quantum Computer
• Authors: Miguel Mercado, Kyle Chen, Parth Darekar, Aiichiro Nakano, Rosa Di Felice, Stephan Haas,
• Abstract summary: Control of topological edge modes is desirable for encoding quantum information resiliently against external noise. Our results provide a pathway towards stable long-time implementation of topological quantum spin systems on present day quantum processors.
• Score: 0.791663505497707
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Control of topological edge modes is desirable for encoding quantum information resiliently against external noise. Their implementation on quantum hardware, however, remains a long-standing problem due to current limitations of circuit depth and noise, which grows with the number of time steps. By utilizing recently developed constant-depth quantum circuits in which the circuit depth is independent of time, we demonstrate successful long-time dynamics simulation of bulk and surface modes in topological insulators on noisy intermediate-scale quantum (NISQ) processors, which exhibits robust signatures of localized topological modes. We further identify a class of one-dimensional topological Hamiltonians that can be readily simulated with NISQ hardware. Our results provide a pathway towards stable long-time implementation of topological quantum spin systems on present day quantum processors.

Related papers

• QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum Circuits [82.50620782471485]
  QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits. It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness. Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
  arXiv  Detail & Related papers  (2024-01-10T22:33:00Z)
• Quantum Simulation of Dissipative Energy Transfer via Noisy Quantum Computer [0.40964539027092917]
  We propose a practical approach to simulate the dynamics of an open quantum system on a noisy computer. Our method leverages gate noises on the IBM-Q real device, enabling us to perform calculations using only two qubits. In the last, to deal with the increasing depth of quantum circuits when doing Trotter expansion, we introduced the transfer tensor method(TTM) to extend our short-term dynamics simulation.
  arXiv  Detail & Related papers  (2023-12-03T13:56:41Z)
• Quantum Simulations for Strong-Field QED [0.0]
  We perform quantum simulations of strong-field QED (SFQED) in $3+1$ dimensions. The interactions relevant for Breit-Wheeler pair-production are transformed into a quantum circuit. Quantum simulations of a "null double slit" experiment are found to agree well with classical simulations.
  arXiv  Detail & Related papers  (2023-11-30T03:05:26Z)
• Prolonging a discrete time crystal by quantum-classical feedback [0.0]
  We propose a timeperiodic scheme that leverages quantum-classical feedback protocols in subregions of the system to enhance a time crystal signal significantly exceeding the decoherence time of the device. Based on classical simulation quantum circuit realizations, we find that this approach is suitable for implementation on existing quantum phases and hardware.
  arXiv  Detail & Related papers  (2023-09-05T11:43:26Z)
• Combining Matrix Product States and Noisy Quantum Computers for Quantum Simulation [0.0]
  Matrix Product States (MPS) and Operators (MPO) have been proven to be a powerful tool to study quantum many-body systems. We show that using classical knowledge in the form of tensor networks provides a way to better use limited quantum resources.
  arXiv  Detail & Related papers  (2023-05-30T17:21:52Z)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer [3.205614282399206]
  Chiral edge states are sought-after as paradigmatic topological states relevant to quantum information processing and electron transport. We demonstrate chiral topological propagation that is induced by suitably designed interactions, instead of flux or spin-orbit coupling. By taking advantage of the quantum nature of the platform, we circumvented difficulties from the limited qubit number and gate fidelity in present-day noisy intermediate-scale quantum (NISQ)-era quantum computers.
  arXiv  Detail & Related papers  (2022-07-28T18:00:29Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Quantum algorithms for quantum dynamics: A performance study on the spin-boson model [68.8204255655161]
  Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator. variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware. We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
  arXiv  Detail & Related papers  (2021-08-09T18:00:05Z)
• An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation [55.41644538483948]
  Current generation noisy intermediate-scale quantum (NISQ) computers are severely limited in chip size and error rates. We derive localized circuit transformations to efficiently compress quantum circuits for simulation of certain spin Hamiltonians known as free fermions. The proposed numerical circuit compression algorithm behaves backward stable and scales cubically in the number of spins enabling circuit synthesis beyond $mathcalO(103)$ spins.
  arXiv  Detail & Related papers  (2021-08-06T19:38:03Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.