Value preserving quantum measurements: Impossibility theorems and lower bounds for the distortion

1983 ◽  
Vol 24 (10) ◽  
pp. 2454-2460 ◽  
Author(s):  
G. C. Ghirardi ◽  
A. Rimini ◽  
T. Weber
Keyword(s):  
Lower Bounds ◽  
Quantum Measurements

scholarly journals Quantum prescriptions are more ontologically distinct than they are operationally distinguishable

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 345
Author(s):  
Anubhav Chaturvedi ◽  
Debashis Saha
Keyword(s):  
Lower Bounds ◽  
Additional Assumption ◽  
Quantum Measurements ◽  
Two Dimensional ◽  
Identity Of Indiscernibles ◽  
Unitary Transformations ◽  
Additional Assumptions

Based on an intuitive generalization of the Leibniz principle of `the identity of indiscernibles', we introduce a novel ontological notion of classicality, called bounded ontological distinctness. Formulated as a principle, bounded ontological distinctness equates the distinguishability of a set of operational physical entities to the distinctness of their ontological counterparts. Employing three instances of two-dimensional quantum preparations, we demonstrate the violation of bounded ontological distinctness or excess ontological distinctness of quantum preparations, without invoking any additional assumptions. Moreover, our methodology enables the inference of tight lower bounds on the extent of excess ontological distinctness of quantum preparations. Similarly, we demonstrate excess ontological distinctness of quantum transformations, using three two-dimensional unitary transformations. However, to demonstrate excess ontological distinctness of quantum measurements, an additional assumption such as outcome determinism or bounded ontological distinctness of preparations is required. Moreover, we show that quantum violations of other well-known ontological principles implicate quantum excess ontological distinctness. Finally, to showcase the operational vitality of excess ontological distinctness, we introduce two distinct classes of communication tasks powered by excess ontological distinctness.

Depth Lower Bounds for Monotone Semi-Unbounded Fan-in Circuits

2001 ◽  
Vol 35 (3) ◽  
pp. 277-286 ◽  
Author(s):  
Jan Johannsen
Keyword(s):  
Lower Bounds

Lower Bounds in Communication Complexity

2007 ◽  
Author(s):  
T. Lee ◽  
A. Shraibman
Keyword(s):  
Lower Bounds ◽  
Communication Complexity

Lower Bounds on the Aperiodic Hamming Correlations of Frequency Hopping Sequences

2013 ◽  
Vol E96.A (6) ◽  
pp. 1445-1450 ◽  
Author(s):  
Xing LIU ◽  
Daiyuan PENG ◽  
Xianhua NIU ◽  
Fang LIU
Keyword(s):  
Lower Bounds ◽  
Frequency Hopping ◽  
Frequency Hopping Sequences

Two Lower Bounds for Shortest Double-Base Number System

2015 ◽  
Vol E98.A (6) ◽  
pp. 1310-1312 ◽  
Author(s):  
Parinya CHALERMSOOK ◽  
Hiroshi IMAI ◽  
Vorapong SUPPAKITPAISARN
Keyword(s):  
Lower Bounds ◽  
Number System ◽  
Base Number ◽  
Double Base

Lower bounds on the dimension of the Rauzy gasket

2020 ◽  
Vol 148 (2) ◽  
pp. 321-327
Author(s):  
Rodolfo Gutiérrez-Romo ◽  
Carlos Matheus
Keyword(s):  
Lower Bounds

A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers

10.37236/1188 ◽  
1994 ◽  
Vol 1 (1) ◽  
Author(s):  
Geoffrey Exoo
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Ramsey Numbers

For $k \geq 5$, we establish new lower bounds on the Schur numbers $S(k)$ and on the k-color Ramsey numbers of $K_3$.

The Lower Bounds on the Second Order Nonlinearity of Bent Functions and Semi-bent Functions

2010 ◽  
Vol 32 (10) ◽  
pp. 2521-2525
Author(s):  
Xue-lian Li ◽  
Yu-pu Hu ◽  
Jun-tao Gao
Keyword(s):  
Lower Bounds ◽  
Second Order ◽  
Bent Functions ◽  
Second Order Nonlinearity
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