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Abstract: At first sight, dissipative processes are the source of quantum decoherence and limit the timescale over which a given system can be controlled. On the other hand, from a control theoretic point of view, the availability of dissipative processes also opens new avenues, not the least of which being the stabilization of quantum systems. In practice, one usually cannot choose the dissipative processes at work nor their steady states. However, assuming sufficiently rich interactions can be engineered, existing dissipative processes can sometimes be hijacked to emulate inaccessible nonphysical dissipative processes. The environment then goes from spectator to ally. This strategy, known as quantum reservoir engineering, can be traced back to the seminal work of Alfred Kastler on optical pumping.
In this talk, we will explore the applications of quantum reservoir engineering for quantum information processing, and in particular for the stabilization of bosonic quantum error correction codes. We will present the current state of the art as well as recently proposed avenues for improvement for the protection of Gottesman–Kitaev–Preskill codes. We will also present some of the necessary mathematical tools to give a sound, rigorous basis to these methods in infinite-dimensional Hilbert spaces.

Hosted by Professor Lorenza Viola

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https://dartmouth.zoom.us/j/93672234574?pwd=lXV2bhO5mDoPEVrBkFArmIFPbP7aC8.1

Meeting ID: 936 7223 4574
Email Physics.Department@dartmouth.edu for passcode