Optimizing quantum process tomography with unitary 2-designs
By A. J. Scott. 2007
146 citations recorded by the source corpus.
We show that weighted unitary 2-designs define optimal measurements on the system-ancilla output state for ancilla-assisted process tomography of unital quantum channels. Examples include complete sets of mutually unbiased unitary-operator bases. Each of these specifies a minimal series of optimal orthogonal measurements. General quantum channels are also considered.
Subfields: Applied Mathematics, Artificial Intelligence, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/3d66e4fb596b1c1bddcb84ea4d8b96877edfbc85
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In Applied Mathematics
In Artificial Intelligence
- Nicholas Hunter-Jones
- Jordan S. Cotler
- Junyu Liu
- B. Yoshida
- Daniel A. Roberts
- A. Nahum
- R. Myers
- D. Harlow
In Numerical Analysis
Citations in the corpus
- Chaos, complexity, and random matrices (2017, methodology): “The frame potential, defined with respect to an ensemble as [44]”
- Chaos and complexity by design (2016, methodology): “Here, for Haar we can compute the frame potential exactly for all k [45]”
- Unitary designs from statistical mechanics in random quantum circuits. (2019, background): “The frame potential for an ensemble of unitaries E was first discussed in the context of unitary designs in [23,24].”