scholarly journals The hypergroupoid of boundary conditions for local quantum observables

2019 ◽  
Author(s):  
Marcel Bischoff ◽  
Karl-Henning Rehren
Keyword(s):  
Boundary Conditions ◽  
Local Quantum ◽  
Quantum Observables

Measuring 4-local qubit observables could probabilistically solve PSPACE

2008 ◽  
Vol 8 (8&9) ◽  
pp. 741-755
Author(s):  
P. Wocjan ◽  
D. Janzing ◽  
T. Decker
Keyword(s):  
Measurement Accuracy ◽  
Quantum Algorithm ◽  
Control Algorithms ◽  
Local Observable ◽  
Spectral Gaps ◽  
Local Quantum ◽  
Quantum Observables ◽  
Probabilistic Solution ◽  
Measurement Algorithm ◽  
Local Observables

We consider a hypothetical apparatus that implements measurements for arbitrary 4-local quantum observables A on n qubits. The apparatus implements the ``measurement algorithm'' after receiving a classical description of A. We show that a few precise measurements applied to a basis state would provide a probabilistic solution of PSPACE problems. The error probability decreases exponentially with the number of runs, if the measurement accuracy is of the order of the spectral gaps of the operator A. Moreover, every decision problem that can be solved by a deterministic quantum algorithm in T time steps can be encoded into a 4-local observable such that the solution requires only measurements of accuracy O(1/T). Provided that BQP$\neq$PSPACE, our result shows that efficient algorithms for precise measurements of general 4-local observables cannot exist. We conjecture that the class of physically existing interactions is large enough to allow the conclusion that precise energy measurements for general many-particle systems require control algorithms with high complexity.

scholarly journals Unified Framework for Correlations in Terms of Local Quantum Observables

2010 ◽  
Vol 104 (14) ◽  
Author(s):  
A. Acín ◽  
R. Augusiak ◽  
D. Cavalcanti ◽  
C. Hadley ◽  
J. K. Korbicz ◽  
...  
Keyword(s):  
Unified Framework ◽  
Local Quantum ◽  
Quantum Observables

Use of the Magnetostatic Analogue In Electromagnetic Lens Engineering

1970 ◽  
Vol 28 ◽  
pp. 360-361
Author(s):  
John W. Coleman
Keyword(s):  
Boundary Conditions ◽  
High Performance ◽  
Force Fields ◽  
Optical Design ◽  
Direct Conversion ◽  
Design Engineering ◽  
Design Data ◽  
Scalar Potentials ◽  
Geometric Elements ◽  
At Will

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.

A digital vocal tract simulator with boundary conditions at lips and glottis

1981 ◽  
Vol 64 (11) ◽  
pp. 18-26 ◽  
Author(s):  
Tetsuya Nomura ◽  
Nobuhiro Miki ◽  
Nobuo Nagai
Keyword(s):  
Boundary Conditions ◽  
Vocal Tract

Exploring the affective impact, boundary conditions, and antecedents of leader humility.

2018 ◽  
Vol 103 (9) ◽  
pp. 1019-1038 ◽  
Author(s):  
Lin Wang ◽  
Bradley P. Owens ◽  
Junchao (Jason) Li ◽  
Lihua Shi
Keyword(s):  
Boundary Conditions ◽  
Affective Impact ◽  
Leader Humility

Exploring personality variables as boundary conditions of the justice-job satisfaction relationship

2009 ◽  
Author(s):  
Sabrina Volpone ◽  
Cristina Rubino ◽  
Ari A. Malka ◽  
Christiane Spitzmueller ◽  
Lindsay Brown
Keyword(s):  
Job Satisfaction ◽  
Boundary Conditions ◽  
Personality Variables ◽  
Satisfaction Relationship

Intentionality Matters: Boundary Conditions of Task Sharing

2008 ◽  
Author(s):  
Silke Atmaca ◽  
Antje Hollander ◽  
Wolfgang Prinz
Keyword(s):  
Boundary Conditions ◽  
Task Sharing
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