Schmidt measure is not fully additive for pure states

2008 ◽  
Vol 78 (2) ◽  
Author(s):  
W. Huang ◽  
Zhaohui Wei
Keyword(s):  
Pure States

scholarly journals Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 408
Author(s):  
Matteo Villani ◽  
Guillermo Albareda ◽  
Carlos Destefani ◽  
Xavier Cartoixà ◽  
Xavier Oriols
Keyword(s):  
Single Particle ◽  
Degrees Of Freedom ◽  
Single Photon ◽  
Open Quantum Systems ◽  
Wave Functions ◽  
Practical Application ◽  
Light Matter Interaction ◽  
Pure States ◽  
Energy And Momentum ◽  
Full Quantum

Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light–matter interaction phenomena in a resonant tunneling device, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).

Classical pure states are coherent states

1985 ◽  
Vol 111 (8-9) ◽  
pp. 409-411 ◽  
Author(s):  
Mark Hillery
Keyword(s):  
Coherent States ◽  
Pure States

Quantum cloning of identical mixed qubits

2007 ◽  
Vol 7 (5&6) ◽  
pp. 551-558
Author(s):  
H. Fan ◽  
B.-Y. Liu ◽  
K.-J. Shi
Keyword(s):  
Upper Bound ◽  
Quantum Cloning ◽  
Single Qubit ◽  
Antisymmetric State ◽  
Pure States ◽  
Symmetric States

Quantum cloning of two identical mixed qubits $\rho \otimes \rho$ is studied. We propose the quantum cloning transformations not only for the triplet (symmetric) states but also for the singlet (antisymmetric) state. We can copy these two identical mixed qubits to $M$ ($M\ge 2$) copies. This quantum cloning machine is optimal in the sense that the shrinking factor between the input and the output single qubit achieves the upper bound. The result shows that we can copy two identical mixed qubits with the same quality as that of two identical pure states.

scholarly journals Graphical calculus for Gaussian pure states

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Nicolas C. Menicucci ◽  
Steven T. Flammia ◽  
Peter van Loock
Keyword(s):  
Graphical Calculus ◽  
Pure States
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