scholarly journals A Mathematical Bridge between Discretized Gauge Theories in Quantum Physics and Approximate Reasoning in Pairwise Comparisons

2018 ◽  
Vol 2018 ◽  
pp. 1-5 ◽  
Author(s):  
Jean-Pierre Magnot
Keyword(s):  
Information Theory ◽  
Quantum Physics ◽  
Gauge Theories ◽  
Approximate Reasoning ◽  
Pairwise Comparisons ◽  
Open Questions

We describe a mathematical link between aspects of information theory, called pairwise comparisons, and discretized gauge theories. The link is made by the notion of holonomy along the edges of a simplex. This correspondence leads to open questions in both fields.

Open Questions in Quantum Physics

1986 ◽  
Vol 37 (7) ◽  
pp. 303-303
Author(s):  
P T Landsberg
Keyword(s):  
Quantum Physics ◽  
Open Questions

Open Questions in Quantum Physics

Physics Today ◽  
1986 ◽  
Vol 39 (11) ◽  
pp. 105-106
Author(s):  
G. Tarozzi ◽  
A. A. Van Der Merwe ◽  
Daniel M. Greenberger
Keyword(s):  
Quantum Physics ◽  
Open Questions

Thresholds for reduction-related entanglement criteria in quantum information theory

2015 ◽  
Vol 15 (13&14) ◽  
pp. 1165-1184
Author(s):  
Maria A. Jivulescu ◽  
Nicolae Lupa ◽  
Ion Nechita
Keyword(s):  
Information Theory ◽  
Quantum Information ◽  
Quantum State ◽  
Random Matrix ◽  
Matrix Theory ◽  
Quantum Information Theory ◽  
Quantum States ◽  
Absolute Reduction ◽  
Open Questions ◽  
Pure Quantum State

We consider random bipartite quantum states obtained by tracing out one subsystem from a random, uniformly distributed, tripartite pure quantum state. We compute thresholds for the dimension of the system being traced out, so that the resulting bipartite quantum state satisfies the reduction criterion in different asymptotic regimes. We consider as well the basis-independent version of the reduction criterion (the absolute reduction criterion), computing thresholds for the corresponding eigenvalue sets. We do the same for other sets relevant in the study of absolute separability, using techniques from random matrix theory. Finally, we gather and compare the known values for the thresholds corresponding to different entanglement criteria, and conclude with a list of open questions.

scholarly journals Energy-Efficient Mining on a Quantum-Enabled Blockchain Using Light

Ledger ◽  
2019 ◽  
Vol 4 ◽  
Author(s):  
Adam J Bennet ◽  
Shakib Daryanoosh
Keyword(s):  
Quantum Information ◽  
Energy Efficient ◽  
Quantum Physics ◽  
Network Code ◽  
Digital Systems ◽  
Quantum Devices ◽  
Classical Information ◽  
Open Questions ◽  
Interactive Mining ◽  
Quantum Internet

We outline a quantum-enabled blockchain architecture based on a consortium of quantum servers. The network is hybridised, utilising digital systems for sharing and processing classical information combined with a fibre-optic infrastructure and quantum devices for transmitting and processing quantum information. We deliver an energy efficient interactive mining protocol enacted between clients and servers which uses quantum information encoded in light and removes the need for trust in network infrastructure. Instead, clients on the network need only trust the transparent network code, and that their devices adhere to the rules of quantum physics. To demonstrate the energy efficiency of the mining protocol, we elaborate upon the results of two previous experiments (one performed over 1km of optical fibre) as applied to this work. Finally, we address some key vulnerabilities, explore open questions, and observe forward-compatibility with the quantum internet and quantum computing technologies.

scholarly journals Viral Taxonomy Derived From Evolutionary Genome Relationships

2018 ◽  
Author(s):  
Tyler J. Dougan ◽  
Stephen R. Quake
Keyword(s):  
Information Theory ◽  
Genetic Relationships ◽  
Computational Cost ◽  
Pairwise Comparisons ◽  
Genome Alignment ◽  
Evolutionary Genetic ◽  
Novel Virus ◽  
Global Classification ◽  
Ncbi Blast

AbstractWe describe a new genome alignment-based model for classification of viruses based on evolutionary genetic relationships. This approach uses information theory and a physical model to determine the information shared by the genes in two genomes. Pairwise comparisons of genes from the viruses are created from alignments using NCBI BLAST, and their match scores are combined to produce a metric between genomes, which is in turn used to determine a global classification using the 5,817 viruses on RefSeq. In cases where there is no measurable alignment between any genes, the method falls back to a coarser measure of genome relationship: the mutual information of k-mer frequency. This results in a principled model which depends only on the genome sequence, which captures many interesting relationships between viral families, and which creates clusters which correlate well with both the Baltimore and ICTV classifications. The incremental computational cost of classifying a novel virus is low and therefore newly discovered viruses can be quickly identified and classified.

Non-Mathematical Musings on Information Theory and Networked Musical Practice

2021 ◽  
Vol 26 (3) ◽  
pp. 327-332
Author(s):  
Phil Stone
Keyword(s):  
Information Theory ◽  
Mathematical Theory ◽  
Quantum Physics ◽  
Computer Network ◽  
Information Revolution ◽  
Digital Information ◽  
Modern Life ◽  
Personal Connection ◽  
Musical Practice ◽  
Network Music

Claude Shannon’s 1948 paper ‘A Mathematical Theory of Communication’ provided the essential foundation for the digital/information revolution that enables these very pixels to glow in meaningful patterns and permeates nearly every aspect of modern life. Information Theory, born fully grown from this paper, has been applied and mis-applied to a multitude of disciplines in the last 70-odd years, from quantum physics to psychology. Shannon himself famously decried those jumping on the ‘scientific bandwagon’ of Information Theory without sufficient mathematical rigour. Nevertheless, having a brief personal connection to Dr Shannon (and being extremely grateful for it), I will take the liberty of colouring some of my experience with computer network music with less-than-rigorous insights gained from his work.

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