scholarly journals A Time-Symmetric Formulation of Quantum Entanglement

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 179
Author(s):  
Michael B. Heaney
Keyword(s):  
Quantum Mechanics ◽  
Quantum Entanglement ◽  
Conventional Formulation ◽  
Quantum Analysis ◽  
Symmetric Formulation

I numerically simulate and compare the entanglement of two quanta using the conventional formulation of quantum mechanics and a time-symmetric formulation that has no collapse postulate. The experimental predictions of the two formulations are identical, but the entanglement predictions are significantly different. The time-symmetric formulation reveals an experimentally testable discrepancy in the original quantum analysis of the Hanbury Brown–Twiss experiment, suggests solutions to some parts of the nonlocality and measurement problems, fixes known time asymmetries in the conventional formulation, and answers Bell’s question “How do you convert an ’and’ into an ’or’?”

What Is Light, Really?

2011 ◽  
Author(s):  
Sönke Johnsen
Keyword(s):  
Quantum Mechanics ◽  
Physical Properties ◽  
Quantum Entanglement ◽  
Uncertainty Principle ◽  
Modern Theory ◽  
Discrete Energy ◽  
Wave Particle Duality ◽  
The World ◽  
Energy States

This concluding chapter explains that the modern theory of light falls within the field of quantum mechanics. At first glance, quantum mechanics does not seem that strange—its name is based on the fact that light comes in units and that electrons have discrete energy states. It also includes the uncertainty principle, which states that one cannot know certain pairs of physical properties with perfect precision. Moreover, quantum mechanics involves the wave-particle duality of photons. The chapter then explores two of the most unusual aspects of quantum mechanics: two-slit interference and quantum entanglement. Both violate the most fundamental notions about how the world works.

scholarly journals Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics

2020 ◽  
Vol 18 (06) ◽  
pp. 2050030
Author(s):  
Satoya Imai
Keyword(s):  
Quantum Mechanics ◽  
Variational Principle ◽  
Quantum System ◽  
Quantum Entanglement ◽  
Vortex Dynamics ◽  
Ritz Method ◽  
Hamiltonian Formalism ◽  
Time Dependent ◽  
Nodal Points ◽  
As If

The hydrodynamic representation of quantum mechanics describes virtual flow as if a quantum system were fluid in motion. This formulation illustrates pointlike vortices when the phase of a wavefunction becomes nonintegrable at nodal points. We study the dynamics of such pointlike vortices in the hydrodynamic representation for a two-particle wavefunction. In particular, we discuss how quantum entanglement influences vortex–vortex dynamics. For this purpose, we employ the time-dependent quantum variational principle combined with the Rayleigh–Ritz method. We analyze the vortex dynamics and establish connections with Dirac’s generalized Hamiltonian formalism.

scholarly journals A New Paradox in Quantum Mechanics

2019 ◽  
Author(s):  
Ghenadie N. Mardari
Keyword(s):  
Quantum Mechanics ◽  
Quantum Entanglement ◽  
Epr Paradox ◽  
Quantum Behavior ◽  
Basic Features ◽  
Final Answer ◽  
Non Locality

The EPR paradox is known as an interpretive problem, as well as a technical discovery in quantum mechanics. It defined the basic features of two-quantum entanglement, as needed to study the relationships between two non-commuting variables. In contrast, four variables are observed in a typical Bell experiment. This is no longer the same problem. The full complexity of this process can only be captured by the analysis of four-quantum entanglement. Indeed, a new paradox emerges in this context, with straightforward consequences. Either quantum behavior is capable of signaling non-locality, or it is local. Both alternatives appear to contradict existing knowledge. Still, one of them has to be true, and the final answer can be obtained conclusively with a four-quantum Bell experiment.

scholarly journals Qubit, Quantum Entanglement and all that: Quantum Computing Made Simple

2021 ◽  
Vol 7 (1) ◽  
pp. 1-9
Author(s):  
Zion Elani
Keyword(s):  
Quantum Mechanics ◽  
Quantum Computing ◽  
Popular Culture ◽  
Quantum Entanglement ◽  
High Tech ◽  
Quantum Computers ◽  
The World ◽  
Media Hype ◽  
The Impact ◽  
Fully Functioning

Quantum computing, a fancy word resting on equally fancy fundamentals in quantum mechanics, has become a media hype, a mainstream topic in popular culture and an eye candy for high-tech company researchers and investors alike. Quantum computing has the power to provide faster, more efficient, secure and accurate computing solutions for emerging future innovations. Governments the world over, in collaboration with high-tech companies, pour in billions of dollars for the advancement of computing solutions quantum-based and for the development of fully functioning quantum computers that may one day aid in or even replace classical computers. Despite much hype and publicity, most people do not understand what quantum computing is, nor do they comprehend the significance of the developments required in this field, and the impact it may have on the future. Through these lecture notes, we embark on a pedagogic journey of understanding quantum computing, gradually revealing the concepts that form its basis, later diving in a vast pool of future possibilities that lie ahead, concluding with understanding and acknowledging some major hindrance and speed breaking bumpers in their path.

scholarly journals Reverse Quantum Mechanics: A Path to Realism.

2019 ◽  
Author(s):  
michele caponigro
Keyword(s):  
Quantum Mechanics ◽  
Quantum Entanglement ◽  
Reverse Problem ◽  
Ontological Approach ◽  
Cat States ◽  
Ontological Aspect

This paper is essentially a quantum challenge: starting from simple assumptions, we argue about an ontological approach to quantum mechanics. In this paper, we will focus only on the assumptions.While these assumptions seems to solve the ontological aspect of theory many others epistemological problems arise. For these reasons, in order to prove these assumptions, we need to find a consistent mathematical context (i.e. time reverse problem, quantum entanglement, implications on quantumfields, Schr¨odinger cat states, the role of observer, the role of mind ).

Connections between Weyl geometry, quantum potential and quantum entanglement

2021 ◽  
Author(s):  
Shi-Dong Liang ◽  
Wenjing Huang
Keyword(s):  
Quantum Mechanics ◽  
Scalar Curvature ◽  
Quantum Entanglement ◽  
Quantum Potential ◽  
Entangled State ◽  
Dimensional System ◽  
Weyl Geometry ◽  
3D Space ◽  
Potential Applications ◽  
Weyl Scalar

The Weyl geometry promises potential applications in gravity and quantum mechanics. We study the relationships between the Weyl geometry, quantum entropy and quantum entanglement based on the Weyl geometry endowing the Euclidean metric. We give the formulation of the Weyl Ricci curvature and Weyl scalar curvature in the n-dimensional system. The Weyl scalar field plays a bridge role to connect the Weyl scalar curvature, quantum potential and quantum entanglement. We also give the Einstein–Weyl tensor and the generalized field equation in 3D vacuum case, which reveals the relationship between Weyl geometry and quantum potential. Particularly, we find that the correspondence between the Weyl scalar curvature and quantum potential is dimension-dependent and works only for the 3D space, which reveals a clue to quantize gravity and an understanding why our space must be 3D if quantum gravity is compatible with quantum mechanics. We analyze numerically a typical example of two orthogonal oscillators to reveal the relationships between the Weyl scalar curvature, quantum potential and quantum entanglement based on this formulation. We find that the Weyl scalar curvature shows a negative dip peak for separate state but becomes a positive peak for the entangled state near original point region, which can be regarded as a geometric signal to detect quantum entanglement.

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