M. Quintino (University of Vienna): Universal protocols for transforming unitary quantum operations
Channel: Centrum Fizyki Teoretycznej PAN
Date: 22/04/2021

Marco Túlio Quintino (University of Vienna)
Universal protocols for transforming unitary quantum operations: Exponential advantage with adaptive protocols and the power of indefinite causality.
Given a general d-dimensional unitary operation U for which, apart from the dimension, its description is unknown, is it possible to implement f(U)? How does the situation change when k uses of unitary operation U are allowed? In this talk we address how to obtain such transformations via quantum circuits and general superchannel, considering probabilistic exact and deterministic non-exact transformations.
For unitary inversion and unitary transposition we present an explicit sequential circuit which attain an exact transformation with a failure probability that decays exponentially in the number of uses k. We discuss arbitrary transformations on quantum unitary operations, deterministic non-exact protocols are considered and the power of indefinite causality for transforming unitary operations.
Quantum Information and Quantum Computing Seminars CTP PAS
2021-03-18