Qubit noise deconvolution

Mangini, Stefano; Maccone, Lorenzo; Macchiavello, Chiara

doi:10.1140/epjqt/s40507-022-00151-0

Cited by 9 publications

(8 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We note that several typical noise models 37 (see "Methods" section) all fall into this category, which we believe is a general property for typical quantum noise originating from the coupling between system and environment and thus cannot induce extra entanglement between two subsystems.…”

Section: Aðbþ Imentioning

confidence: 93%

Noise effects on purity and quantum entanglement in terms of physical implementability

Guo

Yang

2023

npj Quantum Inf

View full text Add to dashboard Cite

Quantum decoherence due to imperfect manipulation of quantum devices is a key issue in the noisy intermediate-scale quantum (NISQ) era. Standard analyses in quantum information and quantum computation use error rates to parameterize quantum noise channels. However, there is no explicit relation between the decoherence effect induced by a noise channel and its error rate. In this work, we propose to characterize the decoherence effect of a noise channel by the physical implementability of its inverse, which is a universal parameter quantifying the difficulty to simulate the noise inverse with accessible quantum channels. We establish two concise inequalities connecting the decrease of the state purity and logarithmic negativity after a noise channel to the physical implementability of the noise inverse, which is required to be decomposed as mutually orthogonal unitaries or product channels respectively. Our results are numerically demonstrated on several commonly adopted two-qubit noise models. We believe that these relations contribute to the theoretical research on the entanglement properties of noise channels and provide guiding principles for quantum circuit design.

show abstract

Section: Aðbþ Imentioning

confidence: 93%

Noise effects on purity and quantum entanglement in terms of physical implementability

Guo

Yang

2023

npj Quantum Inf

View full text Add to dashboard Cite

show abstract

“…), The calibration data of Amazon Braket Rigetti Aspen-9 [ 130] is downloaded from the quantum cloud services website of Rigetti Computing [ 131] on 30 th October 2021. b) Due to the lack of C-Phase gate fidelity in the calibration data of Amazon Braket Rigetti Aspen-9 [ 130] downloaded on 30 th October 2021, we used the data from the website of Amazon Braket console [ 126] on 18 th November 2021 instead. models for simulators or automatically generate a basic noise model from an IBM Q device.…”

Section: Appendix A: Two-qubit Quantum Process Tomography and Process...mentioning

confidence: 99%

Quantum Correlation Generation Capability of Experimental Processes

Huang,

Chen,

Chang

et al. 2023

Adv Quantum Tech

View full text Add to dashboard Cite

Einstein–Podolsky–Rosen (EPR) steering and Bell nonlocality illustrate two different kinds of correlations predicted by quantum mechanics. They not only motivate the exploration of the foundation of quantum mechanics, but also serve as important resources for quantum‐information processing in the presence of untrusted measurement apparatuses. Herein, a method for characterizing the creation of EPR steering and Bell nonlocality is introduced for dynamical processes in experiments. It shows that the capability of an experimental process to create quantum correlations can be quantified and identified simply by preparing separable states as test inputs of the process and then performing local measurements on single qubits of the corresponding outputs. This finding enables the construction of objective benchmarks for the two‐qubit controlled operations used to perform universal quantum computation. It demonstrates this utility by examining the experimental capability of creating quantum correlations with the controlled‐phase operations on the IBM Quantum Experience and Amazon Braket Rigetti superconducting quantum computers. The results show that the method provides a useful diagnostic tool for evaluating the primitive operations of nonclassical correlation creation in noisy intermediate scale quantum devices.

show abstract

“…This specific class of channels includes the bit-flip, the depolarizing or the dephasing noises [1], also in presence of correlations [3,23]. See [15] for some examples of single-qubit noise models and PTM.…”

Section: Quantum Channels and Pauli Transfer Matrixmentioning

confidence: 99%

“…The relation between QPT and DPTM can be understood by applying the set of states of equation ( 13) to (15). With E i = P i , then p ij = ⟨P i ⟩ Φ(ρ j ) and the reconstruction matrices read…”

Section: General Cptp Unitality Paulimentioning

confidence: 99%

“…This brings several advantages, e.g. the action of the channel, identified by the PTM, becomes a matrix multiplication, simplifying its inversion and manipulation in tasks like noise deconvolution [15,16]. In this framework, the purpose of QPT is the PTM reconstruction, which is achieved by combining the outcome of different experimental configurations into each PTM entry.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pauli transfer matrix direct reconstruction: channel characterization without full process tomography

Roncallo,

Maccone,

Macchiavello

2023

Quantum Sci. Technol.

Self Cite

View full text Add to dashboard Cite

We present a tomographic protocol for the characterization of multiqubit quantum channels. We discuss a specific class of input states, for which the set of Pauli measurements at the output of the channel directly relates to its Pauli transfer matrix components. We compare our results to those of standard quantum process tomography, showing an exponential reduction in the number of different experimental configurations required by a single matrix element extraction, while keeping the same number of shots. This paves the way for more efficient experimental implementations, whenever a selective knowledge of the Pauli transfer matrix is needed. We provide several examples and simulations.

show abstract

Qubit noise deconvolution

Cited by 9 publications

References 52 publications

Noise effects on purity and quantum entanglement in terms of physical implementability

Noise effects on purity and quantum entanglement in terms of physical implementability

Quantum Correlation Generation Capability of Experimental Processes

Pauli transfer matrix direct reconstruction: channel characterization without full process tomography

Contact Info

Product

Resources

About