Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition
of Operators
- URL: http://arxiv.org/abs/2106.12588v1
- Date: Wed, 23 Jun 2021 18:00:02 GMT
- Title: Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition
of Operators
- Authors: Anthony W. Schlimgen, Kade Head-Marsden, LeeAnn M. Sager, Prineha
Narang, and David A. Mazziotti
- Abstract summary: We show that any quantum operator can be exactly decomposed as a linear combination of at most four unitary operators.
The results are in agreement with classical calculations, showing promise in non-unitary operations on intermediate-term and future quantum devices.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Electron transport in realistic physical and chemical systems often involves
the non-trivial exchange of energy with a large environment, requiring the
definition and treatment of open quantum systems. Because the time evolution of
an open quantum system employs a non-unitary operator, the simulation of open
quantum systems presents a challenge for universal quantum computers
constructed from only unitary operators or gates. Here we present a general
algorithm for implementing the action of any non-unitary operator on an
arbitrary state on a quantum device. We show that any quantum operator can be
exactly decomposed as a linear combination of at most four unitary operators.
We demonstrate this method on a two-level system in both zero and finite
temperature amplitude damping channels. The results are in agreement with
classical calculations, showing promise in simulating non-unitary operations on
intermediate-term and future quantum devices.
Related papers
- Solving an Industrially Relevant Quantum Chemistry Problem on Quantum Hardware [31.15746974078601]
We calculate the lowest energy eigenvalue of active space Hamiltonians of industrially relevant and strongly correlated metal chelates on trapped ion quantum hardware.
We are able to achieve chemical accuracy by training a variational quantum algorithm on quantum hardware, followed by a classical diagonalization in the subspace of states measured as outputs of the quantum circuit.
arXiv Detail & Related papers (2024-08-20T12:50:15Z) - Diagonalization of large many-body Hamiltonians on a quantum processor [28.65071920454694]
We use a superconducting quantum processor to compute eigenenergies of quantum many-body systems on two-dimensional lattices of up to 56 sites.
We construct subspaces of the many-body Hilbert space using Trotterized unitary evolutions executed on the quantum processor.
arXiv Detail & Related papers (2024-07-19T16:02:03Z) - Quantum Equilibrium Propagation for efficient training of quantum systems based on Onsager reciprocity [0.0]
Equilibrium propagation (EP) is a procedure that has been introduced and applied to classical energy-based models which relax to an equilibrium.
Here, we show a direct connection between EP and Onsager reciprocity and exploit this to derive a quantum version of EP.
This can be used to optimize loss functions that depend on the expectation values of observables of an arbitrary quantum system.
arXiv Detail & Related papers (2024-06-10T17:22:09Z) - Enhanced quantum state transfer: Circumventing quantum chaotic behavior [35.74056021340496]
We show how to transfer few-particle quantum states in a two-dimensional quantum network.
Our approach paves the way to short-distance quantum communication for connecting distributed quantum processors or registers.
arXiv Detail & Related papers (2024-02-01T19:00:03Z) - Quantum Simulation of Open Quantum Systems Using Density-Matrix
Purification [0.0]
We present a general framework for OQSs where the system's $d times d$ density matrix is recast as a $d2$ wavefunction.
We demonstrate this method on a two-level system in a zero temperature amplitude damping channel and a two-site quantum Ising model.
arXiv Detail & Related papers (2022-07-14T17:59:19Z) - Quantum State Preparation and Non-Unitary Evolution with Diagonal
Operators [0.0]
We present a dilation based algorithm to simulate non-unitary operations on unitary quantum devices.
We use this algorithm to prepare random sub-normalized two-level states on a quantum device with high fidelity.
We also present the accurate non-unitary dynamics of two-level open quantum systems in a dephasing channel and an amplitude damping channel computed on a quantum device.
arXiv Detail & Related papers (2022-05-05T17:56:41Z) - Interactive Protocols for Classically-Verifiable Quantum Advantage [46.093185827838035]
"Interactions" between a prover and a verifier can bridge the gap between verifiability and implementation.
We demonstrate the first implementation of an interactive quantum advantage protocol, using an ion trap quantum computer.
arXiv Detail & Related papers (2021-12-09T19:00:00Z) - Quantum systems simulatability through classical networks [0.0]
We have shown that quantum systems on finite-dimensional Hilbert spaces are equivalent under local transformations.
This result can be applied to the field of simulation of quantum systems.
arXiv Detail & Related papers (2021-12-06T15:57:53Z) - Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems.
Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
arXiv Detail & Related papers (2021-08-30T23:50:05Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z)
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.