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Full-Text Articles in Physics
Proofs Of The Kochen-Specker Theorem Based On The N-Qubit Pauli Group, Padmanabhan Aravind, Mordecai Waegell
Proofs Of The Kochen-Specker Theorem Based On The N-Qubit Pauli Group, Padmanabhan Aravind, Mordecai Waegell
Padmanabhan K. Aravind
We present a number of observables-based proofs of the KochenSpecker (KS) theorem based on the N-qubit Pauli group for N ≥ 4, thus adding to the proofs that have been presented earlier for the 2- and 3-qubit groups. These proofs have the attractive feature that they can be presented in the form of diagrams from which they are obvious by inspection. They are also irreducible in the sense that they cannot be reduced to smaller proofs by ignoring some subset of qubits and/or observables in them. A simple algorithm is given for transforming any observables-based KS proof into a large …
Decoherence As A Measure Of Entanglement, Padmanabhan Aravind, Denis Tolkunov, Vladimir Privman
Decoherence As A Measure Of Entanglement, Padmanabhan Aravind, Denis Tolkunov, Vladimir Privman
Padmanabhan K. Aravind
For a solvable pure-decoherence model, we confirm by an explicit model calculation that the decay of entanglement of two state systems (two quibits) is approximately governed by the product of the suppression factors describing decoherence of the subsystems, provided that they are subject to uncorrelated sources of quantum noise. This demonstrates an important physical property that separated open quantum systems can evolve quantum mechanically on time scales larger than the times for which they remain entangled.
Quantum Mysteries Revisited Again, Padmanabhan Aravind
Quantum Mysteries Revisited Again, Padmanabhan Aravind
Padmanabhan K. Aravind
This paper describes a device, consisting of a central source and two widely separated detectors with six switch settings each, that provides a simple gedanken demonstration of the non-classical correlations that are the subject of Bell’s theorem without relying on either statistical effects or the occurrence of rare events. The mechanism underlying the operation of the device is revealed for readers with a knowledge of quantum mechanics.
The Penrose Dodecahedron Revisited, Padmanabhan Aravind, Jordan Massad
The Penrose Dodecahedron Revisited, Padmanabhan Aravind, Jordan Massad
Padmanabhan K. Aravind
This paper gives an elementary account of the ‘‘Penrose dodecahedron,’’ a set of 40 states of a spin- 3 2 particle used by Zimba and Penrose @Stud. Hist. Phil. Sci. 24, 697–720 ~1993!# to give a proof of Bell’s nonlocality theorem. The Penrose rays are constructed here from the rotation operator of a spin- 3 2 particle and the geometry of a dodecahedron, and their orthogonality properties are derived and illustrated from a couple of different viewpoints. After recalling how the proof of Bell’s theorem can be reduced to a coloring problem on the Penrose rays, a ‘‘proof-tree’’ argument is …