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Minimax Quantum Tomography: Estimators and Relative Entropy Bounds

Physical Review Letters

Ferrie, Christopher; Blume-Kohout, Robin J.

A minimax estimator has the minimum possible error ("risk") in the worst case. We construct the first minimax estimators for quantum state tomography with relative entropy risk. The minimax risk of nonadaptive tomography scales as O(1/N) - in contrast to that of classical probability estimation, which is O(1/N) - where N is the number of copies of the quantum state used. We trace this deficiency to sampling mismatch: future observations that determine risk may come from a different sample space than the past data that determine the estimate. This makes minimax estimators very biased, and we propose a computationally tractable alternative with similar behavior in the worst case, but superior accuracy on most states.

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TYPE Journal Article YEAR 2016
ScopusOSTIDOI

Micro-fabricated ion traps for Quantum Information Processing; Highlights and lessons learned

Maunz, Peter L.; Blume-Kohout, Robin J.; Blain, Matthew G.; Benito, Francisco B.; Berry, Christopher W.; Clark, Craig R.; Clark, Susan M.; Colombo, Anthony P.; Dagel, Amber L.; Fortier, Kevin M.; Haltli, Raymond A.; Heller, Edwin J.; Lobser, Daniel L.; Mizrahi, Jonathan M.; Nielsen, Erik N.; Resnick, Paul J.; Rembetski, John F.; Rudinger, Kenneth M.; Scrymgeour, David S.; Sterk, Jonathan D.; Tabakov, Boyan T.; Tigges, Chris P.; Van Der Wall, Jay W.; Stick, Daniel L.

Abstract not provided.

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TYPE Conference Poster YEAR 2016
OSTI

The Promise of Quantum Simulation

ACS Nano

Muller, Richard P.; Blume-Kohout, Robin J.

Quantum simulations promise to be one of the primary applications of quantum computers, should one be constructed. This article briefly summarizes the history of quantum simulation in light of the recent result of Wang and co-workers, demonstrating calculation of the ground and excited states for a HeH+ molecule, and concludes with a discussion of why this and other recent progress in the field suggest that quantum simulations of quantum chemistry have a bright future. (Figure Presented).

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TYPE Journal Article YEAR 2015
ScopusOSTIDOI
Results 76–100 of 147
Results 76–100 of 147