Quantum theory from quantum information: the purification route

2013 ◽  
Vol 91 (6) ◽  
pp. 475-478 ◽  
Author(s):  
Giulio Chiribella ◽  
Xiao Yuan
Keyword(s):  
Quantum Mechanics ◽  
Information Processing ◽  
Quantum Theory ◽  
Quantum Information ◽  
Foundations Of Quantum Mechanics ◽  
Mathematical Structure ◽  
Mathematical Language ◽  
Standard Quantum ◽  
Information Theoretic

Quantum information provided a new angle on the foundations of quantum mechanics, where the emphasis is placed on operational tasks pertaining to information-processing and computation. In this spirit, several authors have proposed that the mathematical structure of quantum theory could (and should) be rebuilt from purely information-theoretic principles. Here we review the particular route proposed by D'Ariano, Perinotti, and one of the authors (Chiribella et al. Phys. Rev. A, 84, 012311 (2011)), with the purpose of giving a synopsis of the informational principles therein, along with a translation of those principles into the mathematical language of standard quantum theory.

scholarly journals Reality, Indeterminacy, Probability, and Information in Quantum Theory

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 747
Author(s):  
Arkady Plotnitsky
Keyword(s):  
Information Theory ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
Quantum Information ◽  
Quantum Correlations ◽  
Quantum Information Theory ◽  
Quantum Phenomena

Following the view of several leading quantum-information theorists, this paper argues that quantum phenomena, including those exhibiting quantum correlations (one of their most enigmatic features), and quantum mechanics may be best understood in quantum-informational terms. It also argues that this understanding is implicit already in the work of some among the founding figures of quantum mechanics, in particular W. Heisenberg and N. Bohr, half a century before quantum information theory emerged and confirmed, and gave a deeper meaning to, to their insights. These insights, I further argue, still help this understanding, which is the main reason for considering them here. My argument is grounded in a particular interpretation of quantum phenomena and quantum mechanics, in part arising from these insights as well. This interpretation is based on the concept of reality without realism, RWR (which places the reality considered beyond representation or even conception), introduced by this author previously, in turn, following Heisenberg and Bohr, and in response to quantum information theory.

TOWARD A FULL RECONSTRUCTION OF DENSITY MATRIX BY ON/OFF MEASUREMENTS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 27-32 ◽  
Author(s):  
G. BRIDA ◽  
M. GENOVESE ◽  
M. GRAMEGNA ◽  
P. TRAINA ◽  
E. PREDAZZI ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Quantum Information ◽  
Density Matrix ◽  
Foundations Of Quantum Mechanics ◽  
Quantum Tomography ◽  
Local Oscillator ◽  
Homodyne Detection ◽  
Short Pulses ◽  
Phase Measurements ◽  
Full Reconstruction

The knowledge of density matrix is fundamental for several applications, ranging from quantum information to the foundations of quantum mechanics and quantum optics. Nevertheless, quantum tomography based on homodyne detection is a rather complicated technique when applied to short pulses in photocounting regime. In this paper, we present an experimental work addressed to test an innovative scheme for a full reconstruction of the density matrix by using on/off detection coupled to phase measurements respect to a local oscillator.

QUANTUM COMPLEXITY THEORY GOALS AND CHALLENGES

2005 ◽  
Vol 03 (01) ◽  
pp. 31-39 ◽  
Author(s):  
JOZEF GRUSKA
Keyword(s):  
Quantum Mechanics ◽  
Information Processing ◽  
Quantum Information ◽  
Complexity Theory ◽  
Quantum Information Processing ◽  
Short Review ◽  
Quantum Complexity ◽  
Quantum Complexity Theory

Quantum complexity theory is a powerful tool that provides deep insights into Quantum Information Processing (QIP) and aims to do that also for Quantum Mechanics (QM), in general. This paper is a short review of the main and new motivations, goals, tools, results and challenges of quantum complexity, oriented mainly for pedestrians.

scholarly journals Simulation of Closed Timelike Curves in the Framework of an Information-Theoretic Darwinian Approach to Quantum Mechanics

2022 ◽  
Author(s):  
Carlos Baladrón ◽  
Andrei Khrennikov
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computer ◽  
Foundations Of Quantum Mechanics ◽  
Physical Space ◽  
Information Space ◽  
Darwinian Evolution ◽  
Field Equations ◽  
Closed Timelike Curves ◽  
Information Theoretic ◽  
Fundamental Particles

Closed timelike curves (CTCs), non-intuitive theoretical solutions of general relativity field equations can be modelled in quantum mechanics in a way, known as Deutsch-CTCs, to circumvent one of their most paradoxical implications, namely, the so-called grandfather paradox. An outstanding theoretical result of this model is the demonstration that in the presence of a Deutsch-CTC a classical computer would be computationally equivalent to a quantum computer. In the present study, the possible implications of such a striking result for the foundations of quantum mechanics and the connections between classicality and quantumness are explored. To this purpose, a model for fundamental particles that interact in physical space exchanging carriers of momentum and energy is considered. Every particle is then supplemented with an information space in which a probabilistic classical Turing machine is stored. It is analysed whether, through the action of Darwinian evolution, both a classical algorithm coding the rules of quantum mechanics and an anticipation module might plausibly be developed on the information space from initial random behaviour. The simulation of a CTC on the information space of the particle by means of the anticipation module would imply that fundamental particles, which do not possess direct intrinsic quantum features from first principles in this information-theoretic Darwinian approach, could however generate quantum emergent behaviour in real time as a consequence of Darwinian evolution acting on information-theoretic physical systems.

Beyond the Binary: Building a Quantum Future

2021 ◽  
Vol 1 (1) ◽  
pp. 46-53
Author(s):  
Shohini Ghose
Keyword(s):  
Quantum Mechanics ◽  
Information Processing ◽  
Quantum Information ◽  
Data Transmission ◽  
Information Age ◽  
Current Information ◽  
Communications Technologies ◽  
Quantum Revolution ◽  
The Universe ◽  
Modern Computing

Quantum mechanics has not only revolutionized our understanding of the fundamental laws of the universe, but has also transformed modern computing and communications technologies, leading to our current information age. The inherently nondeterministic nature of the theory is now leading to radical and powerful new frameworks for information processing and data transmission. This new quantum revolution raises social, political and ethical questions, but also provides an opportunity to develop quantum-inspired frameworks to examine and build the quantum information era.

On measures of quantum entanglement — A brief review

2016 ◽  
Vol 14 (06) ◽  
pp. 1640024 ◽  
Author(s):  
Debasis Sarkar
Keyword(s):  
Quantum Mechanics ◽  
Information Processing ◽  
Quantum Information ◽  
Quantum Entanglement ◽  
Quantum Correlation ◽  
Composite System ◽  
Quantum Information Processing ◽  
Bipartite Entanglement

Entanglement is one of the most useful resources in quantum information processing. It is effectively the quantum correlation between different subsystems of a composite system. Mathematically, one of the most hard tasks in quantum mechanics is to quantify entanglement. However, progress in this field is remarkable but not complete yet. There are many things to do with quantification of entanglement. In this review, we will discuss some of the important measures of bipartite entanglement.

Bericht: On the Logic of Quantum Mechanics

1973 ◽  
Vol 28 (9) ◽  
pp. 1516-1530
Author(s):  
E. G. Beltrametti ◽  
G. Cassinelli
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Lattice Theory ◽  
Essential Role ◽  
Superposition Principle ◽  
Mathematical Language

We are concerned with the formulation of the essential features of quantum theory in an abstract way, utilizing the mathematical language of proposition lattice theory. We review this approach giving a set of consistent axioms which enables to achieve the relevant results: the formulation and the essential role of the superposition principle is particularly examined.

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