The paper derives optimal success probabilities and no-go thresholds for probabilistically transforming unknown unitary operations into their transpose, complex conjugate, or inverse, and proves adaptive circuits give exponential improvements over parallel ones.
On the existence of physical transformations between sets of quantum states
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Let A = {rho_1,...,rho_n} be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = {sigma_1,...,sigma_n} that guarantee the existence of a physical transformation taking rho_i to sigma_i for all i. Uhlmann has given an elegant such condition when both sets comprise pure states. We give a simple proof of this condition and develop some consequences. Then we consider multi-probabilistic transformations between sets of pure states which leads to conditions for the problem of transformability between A and B when one set is pure and the other is arbitrary.
citation-role summary
background 1
citation-polarity summary
fields
quant-ph 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Probabilistic exact universal quantum circuits for transforming unitary operations
The paper derives optimal success probabilities and no-go thresholds for probabilistically transforming unknown unitary operations into their transpose, complex conjugate, or inverse, and proves adaptive circuits give exponential improvements over parallel ones.