Can quantum cryptography imply quantum mechanics? -- reply to Smolin

Clifton, Bub, and Halvorson (CBH) have argued that quantum mechanics can be derived from three cryptographic, or broadly information-theoretic, axioms. But Smolin disagrees, and he has given a toy theory that he claims is a counterexample. Here we show that Smolin's toy theory violates an independence condition for spacelike separated systems that was assumed in the CBH argument. We then argue that any acceptable physical theory should satisfy this independence condition.

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Many Worlds and Such

The Conceptual Foundations of Quantum Mechanics ◽

10.1093/oso/9780198844686.003.0010 ◽

2019 ◽

pp. 162-189

Author(s):

Jeffrey A. Barrett

Keyword(s):

Quantum Mechanics ◽

Physical Theory ◽

Empirical Adequacy ◽

Wave Mechanics ◽

Many Worlds ◽

Standard Quantum ◽

Information Theoretic ◽

Quantum Probabilities ◽

The Relationship ◽

Pure Wave Mechanics

We consider a number of radically different ways that Everett’s pure wave mechanics has been understood. Each of these reconstructions aims to provide a stronger variety of empirical adequacy than Everett’s own formulation of the theory. Among the alternative formulations of quantum mechanics we consider are splitting worlds, decohering worlds, many minds, many threads, and many maps. Each of these differs in its metaphysical commitments and, hence, in how it explains determinate measurement records and probabilities. We focus, in particular, on the problem of accounting for the standard quantum probabilities. To this end, we consider the relationship between typicality and probability and contrast synchronic and forward-looking probabilities. We conclude with a brief discussion of epistemological, pragmatic, and information-theoretic formulations of quantum mechanics. A recurring issue in this chapter concerns what it should mean for a physical theory to be empirically adequate.

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The Event Universe

10.3366/edinburgh/9781474400343.001.0001 ◽

2015 ◽

Cited By ~ 5

Author(s):

Leemon B. McHenry

Keyword(s):

Electromagnetic Field ◽

Quantum Mechanics ◽

Common Sense ◽

Physical Theory ◽

Alfred North Whitehead ◽

Bertrand Russell ◽

Theory Of Relativity ◽

The World ◽

Modern Physics ◽

Linguistic Methods

What kinds of things are events? Battles, explosions, accidents, crashes, rock concerts would be typical examples of events and these would be reinforced in the way we speak about the world. Events or actions function linguistically as verbs and adverbs. Philosophers following Aristotle have claimed that events are dependent on substances such as physical objects and persons. But with the advances of modern physics, some philosophers and physicists have argued that events are the basic entities of reality and what we perceive as physical bodies are just very long events spread out in space-time. In other words, everything turns out to be events. This view, no doubt, radically revises our ordinary common sense view of reality, but as our event theorists argue common sense is out of touch with advancing science. In The Event Universe: The Revisionary Metaphysics of Alfred North Whitehead, Leemon McHenry argues that Whitehead's metaphysics provides a more adequate basis for achieving a unification of physical theory than a traditional substance metaphysics. He investigates the influence of Maxwell's electromagnetic field, Einstein's theory of relativity and quantum mechanics on the development of the ontology of events and compares Whitehead’s theory to his contemporaries, C. D. Broad and Bertrand Russell, as well as another key proponent of this theory, W. V. Quine. In this manner, McHenry defends the naturalized and speculative approach to metaphysics as opposed to analytical and linguistic methods that arose in the 20th century.

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THE UNREASONABLE EFFECTIVENESS OF EXPONENTIALLY SUPPRESSED CORRECTIONS IN PRESERVING INFORMATION

International Journal of Modern Physics D ◽

10.1142/s0218271813420303 ◽

2013 ◽

Vol 22 (12) ◽

pp. 1342030 ◽

Cited By ~ 9

Author(s):

KYRIAKOS PAPADODIMAS ◽

SUVRAT RAJU

Keyword(s):

Hilbert Space ◽

Black Hole ◽

Quantum Mechanics ◽

Nonperturbative Effects ◽

Von Neumann Entropy ◽

Von Neumann ◽

Information Theoretic ◽

Black Hole Evaporation ◽

Strong Subadditivity ◽

Unreasonable Effectiveness

We point out that nonperturbative effects in quantum gravity are sufficient to reconcile the process of black hole evaporation with quantum mechanics. In ordinary processes, these corrections are unimportant because they are suppressed by e-S. However, they gain relevance in information-theoretic considerations because their small size is offset by the corresponding largeness of the Hilbert space. In particular, we show how such corrections can cause the von Neumann entropy of the emitted Hawking quanta to decrease after the Page time, without modifying the thermal nature of each emitted quantum. Second, we show that exponentially suppressed commutators between operators inside and outside the black hole are sufficient to resolve paradoxes associated with the strong subadditivity of entropy without any dramatic modifications of the geometry near the horizon.

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Quantum Mechanics as a Physical Theory

Nature ◽

10.1038/1351025a0 ◽

1935 ◽

Vol 135 (3425) ◽

pp. 1025-1026 ◽

Cited By ~ 1

Author(s):

H. T. F.

Keyword(s):

Quantum Mechanics ◽

Physical Theory

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The Measurement Problem from the Perspective of an Information-Theoretic Interpretation of Quantum Mechanics

Entropy ◽

10.3390/e17117374 ◽

2015 ◽

Vol 17 (12) ◽

pp. 7374-7386 ◽

Cited By ~ 2

Author(s):

Jeffrey Bub

Keyword(s):

Quantum Mechanics ◽

Measurement Problem ◽

Interpretation Of Quantum Mechanics ◽

Information Theoretic

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Quantum Cryptography Key Distribution

Research Anthology on Advancements in Quantum Technology ◽

10.4018/978-1-7998-8593-1.ch014 ◽

2021 ◽

pp. 325-344

Author(s):

Bhanu Chander

Keyword(s):

Quantum Mechanics ◽

Information Transmission ◽

Quantum Cryptography ◽

Quantum Physics ◽

Large Scale ◽

Key Distribution ◽

Computing Power ◽

Contemporary State ◽

Quantum Resistant Cryptography ◽

Quantum Protocol

Quantum cryptography is actions to protect transactions through executing the circumstance of quantum physics. Up-to-the-minute cryptography builds security over the primitive ability of fragmenting enormous numbers into relevant primes; however, it features inconvenience with ever-increasing machine computing power along with current mathematical evolution. Among all the disputes, key distribution is the most important trouble in classical cryptography. Quantum cryptography endows with clandestine communication by means of offering a definitive protection statement with the rule of the atmosphere. Exploit quantum mechanics to cryptography can be enlarging unrestricted, unfailing information transmission. This chapter describes the contemporary state of classical cryptography along with the fundamentals of quantum cryptography, quantum protocol key distribution, implementation criteria, quantum protocol suite, quantum resistant cryptography, and large-scale quantum key challenges.

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Are Galaxies and Elementary Particles Real? Objects, Reality, Space and Time. An ISST Forum

KronoScope ◽

10.1163/156771509x12638154745544 ◽

2009 ◽

Vol 9 (1-2) ◽

pp. 91-107

Author(s):

Rémy Lestienne

Keyword(s):

Quantum Mechanics ◽

Present Article ◽

International Society ◽

Physical Theory ◽

Niels Bohr ◽

Large Structures ◽

Real Objects ◽

Microscopic World ◽

The Universe ◽

The Web

AbstractWhat is an object? What conditions declare it to be “real”? When can a concept, that has been proposed in a physical theory to describe our observations, be declared “physical” or, in other words, to be an element of reality? These questions pertain to the old debate between idealism and realism. In the last decades, the discussion was principally fuelled by the development of Quantum Mechanics, and particularly by the study of the process of measurement and the development of the concept of complementarity by Niels Bohr and the School of Copenhagen. In a few pages taken from The View from the Center of the Universe, Joel Primack and Nancy Abrams propose to limit the use of the concept of existence not only toward the microscopic world but also toward the very large structures of the Universe. This moves us to reopen the Pandora's Box, in a way in which the consideration of Time may play a fundamental role, as Whitehead, for example, insisted on. However, the interrogation seems to drift necessarily towards a reflection onto the concept of emergence and its relation with time. The present article is the end product of a three month's long Forum opened in February 2008 by the initiator among members of the International Society for the Study of Time, onto the “Gnomon” zone of the web site of the Association. Contributions from Nancy Abrams, Mark Aultman, Troy Camplin, Julius T. Fraser, Paul Harris, Marcel Le Bel, Jean Lette, Carlos Montemayor, Giovanni Vicario and Amrit Srecko Sorli were particularly beneficial to the discussion.

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