Experimental realization of programmable quantum gate
Michal Micuda, Miroslav Jezek, Miloslav Dusek, Jaromir Fiurasek

TL;DR
This paper reports the experimental realization of a programmable single-qubit quantum gate using linear optics, demonstrating high fidelity and versatility in applying phase shifts and filtering operations.
Contribution
It presents the first experimental implementation of a programmable quantum gate with high fidelity, utilizing polarization-encoded photons and quantum process tomography.
Findings
Average quantum process fidelity exceeds 97%
Device can operate as a programmable partial polarization filter
Successful implementation of a fully characterized programmable gate
Abstract
We experimentally demonstrate a programmable single-qubit quantum gate. This device applies a unitary phase shift operation to a data qubit with the value of the phase shift being fully determined by the state of a program qubit. Our linear optical implementation is based on the encoding of qubits into polarization states of single photons, two-photon interference on a polarizing beam splitter, and measurement on the output program qubit. We fully characterize the programmable gate by quantum process tomography. The achieved average quantum process fidelity exceeding 97% illustrates very good performance of the gate for all values of the encoded phase shift. We also show that by using a different set of program states the device can operate as a programmable partial polarization filter.
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