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Probing multipartite entanglement, coherence and quantum information preservation under classical Ornstein-Uhlenbeck noise
Quantum Physics · Submitted 23 Jul 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Thus, it appeared to be a more promising resource for functional quantum computing than bipartite and tripartite quantum systems.
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The abstract, sentence by sentence
We address entanglement, coherence, and information protection in a system of four non-interacting qubits coupled with different classical environments, namely: common, bipartite, tripartite, and independent environments described by Ornstein-Uhlenbeck (ORU) noise. We show that quantum information preserved by the four qubit state is more dependent on the coherence than the entanglement using time-dependent entanglement witness, purity, and Shannon entropy. We find these two quantum phenomena directly interrelated and highly vulnerable in environments with ORU noise, resulting in the pure exponential decay of a considerable amount. The current Markovian dynamical map, as well as suppression of the fluctuating character of the environments are observed to be entirely attributable to the Gaussian nature of the noise. Furthermore, the increasing number of environments are witnessed to accelerate the amount of decay. Unlike other noises, the current noise parameter's flexible range is readily exploitable, ensuring long enough preserved memory properties. The four-qubit GHZ state, besides having a large information storage potential, stands partially entangled and coherent in common environments for an indefinite duration. Thus, it appeared to be a more promising resource for functional quantum computing than bipartite and tripartite quantum systems. In addition, we derive computational values for each system-environment interaction, which will help quantum practitioners to optimize the related kind of classical environments.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We address entanglement, coherence, and information protection in a system of four non-interacting qubits coupled with different classical environments, namely: common, bipartite, tripartite, and independent environments described by Ornstein-Uhlenbeck (ORU) noise. | contribution 0.89 | 0.47 | 0.05 | asserted 0.79 |
| s1 | We show that quantum information preserved by the four qubit state is more dependent on the coherence than the entanglement using time-dependent entanglement witness, purity, and Shannon entropy. | result 1.00 | 0.94 | 0.46 | asserted 1.00 |
| s2 | We find these two quantum phenomena directly interrelated and highly vulnerable in environments with ORU noise, resulting in the pure exponential decay of a considerable amount. | result 0.99 | 0.95 | 0.20 | asserted 1.00 |
| s3 | The current Markovian dynamical map, as well as suppression of the fluctuating character of the environments are observed to be entirely attributable to the Gaussian nature of the noise. | result 0.72 | 0.64 | 0.07 | asserted 1.00 |
| s4 | Furthermore, the increasing number of environments are witnessed to accelerate the amount of decay. | result 1.00 | 0.86 | 0.08 | asserted 0.99 |
| s5 | Unlike other noises, the current noise parameter's flexible range is readily exploitable, ensuring long enough preserved memory properties. | result 0.81 | 0.66 | 0.09 | asserted 0.97 |
| s6 | The four-qubit GHZ state, besides having a large information storage potential, stands partially entangled and coherent in common environments for an indefinite duration. | result 0.99 | 0.86 | 0.26 | asserted 1.00 |
| s7 | Thus, it appeared to be a more promising resource for functional quantum computing than bipartite and tripartite quantum systems. | interpretation 1.00 | 0.64 | 0.40 | hedged possibility 0.78 |
| s8 | In addition, we derive computational values for each system-environment interaction, which will help quantum practitioners to optimize the related kind of classical environments. | contribution 0.70 | 0.95 | 0.06 | asserted 0.77 |
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The paper
Original abstract
We address entanglement, coherence, and information protection in a system of four non-interacting qubits coupled with different classical environments, namely: common, bipartite, tripartite, and independent environments described by Ornstein-Uhlenbeck (ORU) noise. We show that quantum information preserved by the four qubit state is more dependent on the coherence than the entanglement using time-dependent entanglement witness, purity, and Shannon entropy. We find these two quantum phenomena directly interrelated and highly vulnerable in environments with ORU noise, resulting in the pure exponential decay of a considerable amount. The current Markovian dynamical map, as well as suppression of the fluctuating character of the environments are observed to be entirely attributable to the Gaussian nature of the noise. Furthermore, the increasing number of environments are witnessed to accelerate the amount of decay. Unlike other noises, the current noise parameter's flexible range is readily exploitable, ensuring long enough preserved memory properties. The four-qubit GHZ state, besides having a large information storage potential, stands partially entangled and coherent in common environments for an indefinite duration. Thus, it appeared to be a more promising resource for functional quantum computing than bipartite and tripartite quantum systems. In addition, we derive computational values for each system-environment interaction, which will help quantum practitioners to optimize the related kind of classical environments.
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How the literature uses it
3 arXiv papers cite this in 14 sentences
Papers citing it · 7 sentences without a confident label
Contests it 1 paper
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This contradicts the findings of the tripartite non-local correlations, which remained more robust and preserved in the presence of a common noise source as compared to the bipartite entangled state given in [ref] .
Quantum memory assisted entropic uncertainty and entanglement dynamics: Two qubits coupled with local fields and Ornstein Uhlenbeck noise · Explicit dynamics of the two qubits in independent qubit-noise configuration · contest 0.71
Uses its method or tool 2 papers
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This is further defined by the auto-correlation function, and has the form: [equation] We connect the classical noise with the environments in the dynamical map of the two-qubit state using the $β$-function, which is written as [ref] : [equation] We can extract the final $β$-function for the OU noise by plugging the auto-correlation function from Eq.[ref] into Eq.[ref] as: [equation] The memory characteristic of the classical environment is controlled by $g$ and for the $OU$ noise case, we consider $t=τ$.
Quantum memory assisted entropic uncertainty and entanglement dynamics: Two qubits coupled with local fields and Ornstein Uhlenbeck noise · Suggested model and dynamics · 0.92
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([ref]) to the Stochastic field expressed by the Hamiltonian [ref] ; [equation] Here, $H_n(t)=ξI+λΔ_n(t)σ^x$ explores the Hamiltonian for a single qubit with $n ∈{1, 2, 3, 4}$ and $I$ ($σ^x$) is the identity matrix.
Engineering of Hyperentangled Complex Quantum Networks · Dynamics of the Engineered states under Realistic Noise Environment · 0.95
Compares with it 2 papers
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This can be traced back to the results obtained for tripartite and multipartite states in classical environments controlled by Gaussian type noises, as demonstrated in [ref] , but with different preservation thresholds.
Demonstration of entanglement and coherence in GHZ-like state when exposed to classical environments with power-law noise · Dynamical map of entanglement witness under PL noise · 0.92
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Under the OU noise, bipartite entanglement was preserved for longer intervals that shown in Refs. [ref] .
Quantum memory assisted entropic uncertainty and entanglement dynamics: Two qubits coupled with local fields and Ornstein Uhlenbeck noise · Explicit dynamics of the two qubits in common qubit-noise configuration · 0.94
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