Bio: Salini completed her PhD from the University of Calgary in 2022. She is currently a Postdoctoral Research Fellow in the Quantum Theory group at the University of Sydney. Salini's research interests include characterization and control of noisy quantum systems and verification and validation of quantum computation.
Topic: Quantum computation using PT-symmetric gates
Uniqueness of the inner product associated to a quantum system has come under scrutiny following the advent of PT-symmetric quantum mechanics. A changing inner product is valuable for quantum information processing applications; however, perfunctory use of this change can lead to counterfactual conclusions. In this talk, I introduce an operational framework for changing the inner product of a quantum system, which is fully consistent with quantum mechanics. I also explain how this framework results in the operationalization of PT-symmetric Hamiltonians. Next, to determine the utility of these Hamiltonians for information processing, I construct a model of computation using PT-symmetric gates. Finally, I explain how this new model is equivalent to the quantum circuit model in terms of computational power.
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