Representation of a Quantum Ensemble as a Minimal Set of Pure States
نویسندگان
چکیده
منابع مشابه
Canonical thermostatics of ideal gas in the frame work of generalized uncertainty principle
The statistical consequences of minimal length supposition are investigated for a canonical ensemble of ideal gas. These effects are encoded in the so-called Generalized Uncertainty Principle (GUP) of the second order. In the frame work of the considered GUP scenario, a unique partition function is obtained by using of two different methods of quantum and classical approaches. It should be noti...
متن کاملMinimal conditions for local pure-state entanglement manipulation
We find a minimal set of necessary and sufficient conditions for the existence of a local procedure that converts a finite pure state into one of a set of possible final states. This result provides a powerful method for obtaining optimal local entanglement manipulation protocols for pure initial states. As an example, we determine analytically the optimal distillable entanglement for arbitrary...
متن کاملQuantumness, generalized 2-desing and symmetric informationally complete POVM
C. A. Fuchs and M. Sasaki defined the quantumness of a set of quantum states in [1], which is related to the fidelity loss in transmission of the quantum states through a classical channel. In [4], Fuchs showed that in d-dimensional Hilbert space, minimum quantumness is 2 d+1 , and this can be achieved by all rays in the space. He left an open problem, asking whether fewer than d states can ach...
متن کاملA Curious Geometrical Fact about Entanglement
I sketch how the set of pure quantum states forms a phase space, and then point out a curiousity concerning maximally entangled pure states: they form a minimal Lagrangian submanifold of the set of all pure states. I suggest that this curiousity should have an interesting physical interpretation. Talk at the Växjö conference on Quantum Theory: Reconsideration of Foundations, June 2007. Email ad...
متن کاملTowards a geometrical interpretation of quantum information compression
Let S be the von Neumann entropy of a finite ensemble E of pure quantum states. We show that S may be naturally viewed as a function of a set of geometrical volumes in Hilbert space defined by the states and that S is monotonically increasing in each of these variables. Since S is the Schumacher compression limit of E , this monotonicity property suggests a geometrical interpretation of the qua...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015