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Compressed Sensing Tomography: Difference between revisions
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(Created page with "In this [https://arxiv.org/abs/1205.2300 example protocol] quantum state tomography is performed using compressed sensing method. This method is specialized for quantum states...") |
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* Compressed sensing tomography (as mentioned in [https://arxiv.org/abs/1205.2300 Steven T. Flammia et al]) can also be applied to Quantum Process tomography. This method would have an advantage when the unknown quantum process has a small Kraus rank (only be expressed with a few Kraus operators). This occurs, for example, when the unknown process consists of unitary evolution combined with local noise (acting on each qubit individually, or acting on small subsets of the qubits). The process here can be characterised in <math>m = O(rd^2 </math>log<math> d)</math> settings | * Compressed sensing tomography (as mentioned in [https://arxiv.org/abs/1205.2300 Steven T. Flammia et al]) can also be applied to Quantum Process tomography. This method would have an advantage when the unknown quantum process has a small Kraus rank (only be expressed with a few Kraus operators). This occurs, for example, when the unknown process consists of unitary evolution combined with local noise (acting on each qubit individually, or acting on small subsets of the qubits). The process here can be characterised in <math>m = O(rd^2 </math>log<math> d)</math> settings | ||
== | ==Related Papers== | ||
* Steven T. Flammia et al arXiv:1205.2300: Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators | * Steven T. Flammia et al arXiv:1205.2300: Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators | ||
* David Gross et al arXiv:0909.3304: Quantum state tomography via compressed sensing | * David Gross et al arXiv:0909.3304: Quantum state tomography via compressed sensing | ||
<div style='text-align: right;'>''*contributed by Rhea Parekh''</div> | <div style='text-align: right;'>''*contributed by Rhea Parekh''</div> | ||