Think of the output of the encryption scheme as a single quantum state consisting of two systems: the ﬁrst system is a classical string describing which member of the δ-biased family will be used.
Small Pseudo-Random Families of Matrices: Derandomizing Approximate Quantum Encryption
The applicability of RMT to a single system is guaranteed by the property of ergodicity: For almost all members of the ensemble, the ensemble average of an observable (as given by RMT) is equal to the running average of that observable taken over the spectrum of a single member.
Random Matrices and Chaos in Nuclear Spectra
However, they reach this conclusion by assuming (i) that all stars are members of binary systems and (ii) that neutron stars formed by massive single stars (formed only by mergers) or in wide binary systems rotate too slowly to become radio pulsars.
Orbital Characteristics of Binary Systems after Asymmetric Supernova Explosions
The idea is that the encoder is allowed to do encoding by performing arbitrary quantum operations on individual members (typically, a single qubit) of the strings of quantum systems emitted by a source.
Information transmission through a noisy quantum channel
ROR number, and the component of the system detected: A+B when both stars are not resolved and there is only a single detection, and A or B (or C or X for secondaries in multiple systems) when the members of the binary system have been resolved.
X-ray emission from Lindroos binary systems
In this case, wavefunctions in the sum differing by the exchange of single members of two or more pairs would not overlap very much, and the system would behave qualitatively like a condensed Bose-Einstein gas.
The High Temperature Superconductivity in Cuprates
But any two members of | − KS (E8 ) | intersect in a single point, the unique basepoint of the linear system, by (3.6).
Rational Curves on Quasi-Projective Surfaces
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