Physically Motivated Ansatz for Open Fermionic Systems on Quantum Computer
- URL: http://arxiv.org/abs/2606.16823v1
- Date: Mon, 15 Jun 2026 15:07:38 GMT
- Title: Physically Motivated Ansatz for Open Fermionic Systems on Quantum Computer
- Abstract summary: We introduce a physically motivated ansatz named NE-UCC to solve non-equilibrium steady states of open fermionic systems.<n> Numerical simulations demonstrate that NE-UCC reliably converges to the steady state even in strongly correlated regimes far from equilibrium.
- Score: 13.203341543923676
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Determining non-equilibrium steady states (NESS) of open fermionic systems is a fundamental problem akin to finding ground states of closed systems. To address this, variational quantum algorithms can be used to solve the Lindblad master equation, much like the Schrödinger equation, yet ansatz design for NESS remains challenging. Existing approaches rely mostly on hardware-efficient ansätze (HEA), which suffer from the barren plateau problem. Here, we introduce a physically motivated ansatz named NE-UCC. Numerical simulations demonstrate that NE-UCC reliably converges to the steady state even in strongly correlated regimes far from equilibrium, reducing the infidelity by up to ten orders of magnitude compared to HEA. Furthermore, NE-UCC facilitates the exploration of excited eigenmodes with specific symmetries.
Related papers
- Mitigating Noise-Induced Barren Plateaus Using a Non-Unitary Ansatz: Application to Molecular Electronic Transport [0.0]
We show that introducing nonunitary elements into the variational ansatz can mitigate NIBPs in open-quantum systems.<n>We also extend these ideas to a realistic quantum-chemistry system by simulating electron transport through Oligophenylethynylene-sulfurmethyl (OPE-SMe)<n>Our results show that nonunitary variational anstze provide a scalable and physically grounded route for simulating open-system steady states on NISQ hardware.
arXiv Detail & Related papers (2026-05-28T21:06:54Z) - Neural Quantum States in Non-Stabilizer Regimes: Benchmarks with Atomic Nuclei [41.99844472131922]
We study the performance of neural quantum states in relation to the quantum complexity of the target state.<n>For a fixed number of configurations, we find that states with larger non-stabilizerness are systematically harder to learn.<n>This finding suggests that non-stabilizerness is a primary factor governing the compression and representational efficiency of RBMs in entangled regimes.
arXiv Detail & Related papers (2026-03-30T16:29:42Z) - Hadamard regularization of open quantum systems coupled to unstructured environments in the Schwinger-Keldysh formalism [0.0]
Theory of open quantum systems addresses how coupling to external degrees of freedom modifies observables and quantum coherence.<n>Time-stepping algorithm for the Kadanoff-Baym equations on the slow system time-scale is presented.
arXiv Detail & Related papers (2026-03-13T17:28:11Z) - Quantum Many-Body Mpemba Effect through Resonances [0.0]
Recent advances in controllable quantum platforms have enabled the exploration of its quantum analogue, the quantum Mpemba effect (QME)<n>We show that suppressing the initial-state overlap with the dominant RP resonant mode accelerates subsystem equilibration and thereby yields the QME.<n>We substantiate our predictions using the prototypical kicked Ising chain and exotic yet experimentally relevant initial states inspired by number theory.
arXiv Detail & Related papers (2026-03-12T10:51:00Z) - A Tensor Network Framework for Lindbladian Spectra and Steady States [0.0]
We introduce a framework to compute not only steady states, but also low-lying excited states with unprecedented precision for large, driven quantum many-body systems.<n>This method unlocks the capability of spectral analysis of generic open quantum many-body systems, suitable also for non-Markovian environments.
arXiv Detail & Related papers (2025-09-09T13:12:16Z) - Observation of multiple steady states with engineered dissipation [19.94001756170236]
We introduce engineered noise into a one-dimensional ten-qubit superconducting quantum processor to emulate a generic many-body open quantum system.
We find that the information saved in the initial state maintains in the steady state driven by the continuous dissipation on a five-qubit chain.
arXiv Detail & Related papers (2023-08-25T08:06:44Z) - Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped
Ions [17.707261555353682]
probabilistic error cancellation (PEC) has been proposed as a general and systematic protocol.
PEC has been tested in two-qubit systems and a superconducting multi-qubit system.
We benchmark PEC using up to four trapped-ion qubits.
arXiv Detail & Related papers (2023-02-21T04:27:30Z) - Towards Neural Variational Monte Carlo That Scales Linearly with System
Size [67.09349921751341]
Quantum many-body problems are central to demystifying some exotic quantum phenomena, e.g., high-temperature superconductors.
The combination of neural networks (NN) for representing quantum states, and the Variational Monte Carlo (VMC) algorithm, has been shown to be a promising method for solving such problems.
We propose a NN architecture called Vector-Quantized Neural Quantum States (VQ-NQS) that utilizes vector-quantization techniques to leverage redundancies in the local-energy calculations of the VMC algorithm.
arXiv Detail & Related papers (2022-12-21T19:00:04Z) - Canonically consistent quantum master equation [68.8204255655161]
We put forth a new class of quantum master equations that correctly reproduce the state of an open quantum system beyond the infinitesimally weak system-bath coupling limit.
Our method is based on incorporating the knowledge of the reduced steady state into its dynamics.
arXiv Detail & Related papers (2022-05-25T15:22:52Z) - On optimization of coherent and incoherent controls for two-level
quantum systems [77.34726150561087]
This article considers some control problems for closed and open two-level quantum systems.
The closed system's dynamics is governed by the Schr"odinger equation with coherent control.
The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
arXiv Detail & Related papers (2022-05-05T09:08:03Z) - Decimation technique for open quantum systems: a case study with
driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics.
We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function.
We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z) - Robust Control Performance for Open Quantum Systems [0.0]
A formalism is developed to measure performance based on the transmission of a dynamic perturbation or initial state preparation error.
A difficulty arising from the singularity of the closed-loop Bloch equations for the quantum state is overcome by introducing the #-inversion lemma.
Additional difficulties occur when symmetry gives rise to multiple open-loop poles, which under symmetry-breaking unfold into single eigenvalues.
arXiv Detail & Related papers (2020-08-31T15:51:22Z) - Einselection from incompatible decoherence channels [62.997667081978825]
We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators.
We show that Fock states remain the most robust states to decoherence up to a critical coupling.
arXiv Detail & Related papers (2020-01-29T14:15:19Z)
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.