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Simulating noisy quantum protocols with quantum trajectories

Quantum Physics · Submitted 16 Feb 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits.

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arXiv IDquant-ph/0402102 (version 1)
Pith ID4NV6SSW3, Pith's permanent record of this paper and its review
CitationCarlos Mejia-Monasterio, Gabriel G. Carlo, Giuliano Benenti, Giulio Casati. "Simulating noisy quantum protocols with quantum trajectories." arXiv:quant-ph/0402102 (2004). https://pith.science/paper/4NV6SSW3
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,857 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.78 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that generalize single qubit noise channels like amplitude damping and phase flip to the many-qubit situation. We calculate the fidelity of quantum information transmission through a chaotic channel using the teleportation scheme with different environments. In this example, we analyze the role played by the kind of collective noise suffered by the quantum processor during its operation. We also investigate the stability of a quantum algorithm simulating the quantum dynamics of a paradigmatic model of chaos, the baker's map. Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. method 0.65 0.37 0.08 asserted 0.99
s1 We study two models that generalize single qubit noise channels like amplitude damping and phase flip to the many-qubit situation. contribution 0.83 0.91 0.03 asserted 0.97
s2 We calculate the fidelity of quantum information transmission through a chaotic channel using the teleportation scheme with different environments. contribution 0.92 0.92 0.04 asserted 0.98
s3 In this example, we analyze the role played by the kind of collective noise suffered by the quantum processor during its operation. contribution 0.99 0.81 0.03 unclear 0.52
s4 We also investigate the stability of a quantum algorithm simulating the quantum dynamics of a paradigmatic model of chaos, the baker's map. contribution 1.00 0.90 0.04 asserted 0.87
s5 Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits. result 0.96 0.96 0.88 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.97 · evidence from simulation or computation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The theory of quantum trajectories is applied to simulate the effects of quantum noise sources induced by the environment on quantum information protocols. We study two models that generalize single qubit noise channels like amplitude damping and phase flip to the many-qubit situation. We calculate the fidelity of quantum information transmission through a chaotic channel using the teleportation scheme with different environments. In this example, we analyze the role played by the kind of collective noise suffered by the quantum processor during its operation. We also investigate the stability of a quantum algorithm simulating the quantum dynamics of a paradigmatic model of chaos, the baker's map. Our results demonstrate that, using the quantum trajectories approach, we are able to simulate quantum protocols in the presence of noise and with large system sizes of more than 20 qubits.

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