Noiseless quantum circuits for the Peres separability criterion.
In this Letter we give a method for constructing sets of simple circuits that can determine the spectrum of a partially transposed density matrix, without requiring either a tomographically complete positive-operator-valued measurement or the addition of noise to make the spectrum non-negative. These circuits depend only on the dimension of the Hilbert space and are otherwise independent of the state.
Carteret
Hilary A
HA
Laboratoire d'Informatique Théorique et Quantique, Département d'Informatique et de Recherche Opérationelle, Pavillon André-Aisenstadt, Université de Montréal, Montréal, Québec, H3C 3J7 Canada. cartereh@iro.umontreal.ca