منابع مشابه
Gaussian quantum marginal problem
The quantum marginal problem asks what local spectra are consistent with a given spectrum of a joint state of a composite quantum system. This setting, also referred to as the question of the compatibility of local spectra, has several applications in quantum information theory. Here, we introduce the analogue of this statement for Gaussian states for any number of modes, and solve it in genera...
متن کاملQuantum marginal problem and N-representability
A variant of the quantum marginal problem was known from early sixties as N -representability problem. In 1995 it was designated by National Research Council of USA as one of ten most prominent research challenges in quantum chemistry. In spite of this recognition the progress was very slow, until a couple of years ago the problem came into focus again, now in framework of quantum information t...
متن کاملThe Quantum Separability Problem for Gaussian States
The concept of entanglement arose with the question of completeness of quantum theory [1]. Nowadays entanglement is regarded as a fundamental property of certain quantum states and it appears to be an important physical resource. In some sense, entanglement is synonymous of inseparability because entangled states possess some global properties that cannot be explained in terms of only the parti...
متن کاملQuantum Marginal Problem and Representations of the Symmetric Group
We discuss existence of mixed state ρAB of two (or multy-) component system HAB = HA ⊗ HB with reduced density matrices ρA, ρB and given spectra λAB , λA, λB . We give a complete solution of the problem in terms of linear inequalities on the spectra, accompanied with extensive tables of marginal inequalities, including arrays up to 4 qubits. In the second part of the paper we pursue another app...
متن کاملOn possibilistic marginal problem
A possibilistic marginal problem is introduced in a way analogous to probabilistic framework, to address the question of whether or not a common extension exists for a given set of marginal distributions. Similarities and differences between possibilistic and probabilistic marginal problems will be demonstrated, concerning necessary condition and sets of all solutions. The operators of composit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2008
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0442-4