An Introduction to Quantum Computation
... (H ⊗ I)Uf (H ⊗ H)(X ⊗ X)(|0i|0i) = 0 if f (0) 6= f (1) There are two important observations that may be made at this point. First, we have shown Deutsch’s problem for a specific case, but this algorithm extends in a very natural way (think tensor products). It is not difficult to show that we may ta ...
... (H ⊗ I)Uf (H ⊗ H)(X ⊗ X)(|0i|0i) = 0 if f (0) 6= f (1) There are two important observations that may be made at this point. First, we have shown Deutsch’s problem for a specific case, but this algorithm extends in a very natural way (think tensor products). It is not difficult to show that we may ta ...
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... Quantum groupoid (or their dual, weak Hopf coalgebras) and algebroid symmetries figure prominently both in the theory of dynamical deformations of quantum groups (or their dual Hopf algebras) and the quantum Yang–Baxter equations (Etingof et al., 1999, 2001; [?, ?]). On the other hand, one can also ...
... Quantum groupoid (or their dual, weak Hopf coalgebras) and algebroid symmetries figure prominently both in the theory of dynamical deformations of quantum groups (or their dual Hopf algebras) and the quantum Yang–Baxter equations (Etingof et al., 1999, 2001; [?, ?]). On the other hand, one can also ...
Quantum Mechanics From General Relativity
... R a conserved quantity. In this case it would no longer be true that Ψ+ Ψdr is constant in time. Thus the field theory discussed must predict all of the experimental results that are conventionally interpreted as pair annihilation and creation - but without actually creating or annihilating matter a ...
... R a conserved quantity. In this case it would no longer be true that Ψ+ Ψdr is constant in time. Thus the field theory discussed must predict all of the experimental results that are conventionally interpreted as pair annihilation and creation - but without actually creating or annihilating matter a ...
Entangled Simultaneous Measurement and Elementary Particle Representations
... a set of non-commuting operators with mutually commuting subsets [1, 2]. The Bell inequalities are similarly formulated by incompatible space-like separated spin measurements [2, 3]. The connection of these problems to quantum non-locality motivates the consideration of an alternative definition for ...
... a set of non-commuting operators with mutually commuting subsets [1, 2]. The Bell inequalities are similarly formulated by incompatible space-like separated spin measurements [2, 3]. The connection of these problems to quantum non-locality motivates the consideration of an alternative definition for ...
Transcript of Speech by Professor Stephen Hawking
... These appear together at some point of space and time, move apart, and then come together and annihilate each other. These particles and anti particles occur because a field, such as the fields that carry light and gravity, can't be exactly zero. That would mean that the value of the field, would ha ...
... These appear together at some point of space and time, move apart, and then come together and annihilate each other. These particles and anti particles occur because a field, such as the fields that carry light and gravity, can't be exactly zero. That would mean that the value of the field, would ha ...
Can many-valued logic help to comprehend quantum phenomena?
... we can ascribe to Xi , Yi the numbers +1 and −1 in the unique way. This assumption is in a contradiction with the above-stated results of quantum-mechanical calculations since all four equations (1) - (4) cannot hold simultaneously: The product of all lefthand sides is (X1 Y2 Y3 )(Y1 X2 Y3 )(Y1 Y2 ...
... we can ascribe to Xi , Yi the numbers +1 and −1 in the unique way. This assumption is in a contradiction with the above-stated results of quantum-mechanical calculations since all four equations (1) - (4) cannot hold simultaneously: The product of all lefthand sides is (X1 Y2 Y3 )(Y1 X2 Y3 )(Y1 Y2 ...
PowerPoint 演示文稿 - Shandong University
... Schrödinger equation The Schrödinger equation plays the role of Newton's laws and conservation of energy in classical mechanics - i.e., it predicts the future behavior of a dynamic system. It is a wave equation in terms of the wavefunction which predicts analytically and precisely the probability o ...
... Schrödinger equation The Schrödinger equation plays the role of Newton's laws and conservation of energy in classical mechanics - i.e., it predicts the future behavior of a dynamic system. It is a wave equation in terms of the wavefunction which predicts analytically and precisely the probability o ...
Proposing a Classical Explanation of the EPR
... spacetime itself is in motion. It is not only that we are in motion relative to other objects in space, but that even if there were no other objects in space, we would still be observing a spacetime that is moving relative to us (and, anyone resting in that spacetime would instead see us moving rel ...
... spacetime itself is in motion. It is not only that we are in motion relative to other objects in space, but that even if there were no other objects in space, we would still be observing a spacetime that is moving relative to us (and, anyone resting in that spacetime would instead see us moving rel ...
Entangled Bell states of two electrons in coupled quantum dots
... doi:10.1016/j.physe.2004.04.036 ...
... doi:10.1016/j.physe.2004.04.036 ...
Quantum typicality: what is it and what can be done... Jochen Gemmer LMU Muenchen, May, Friday 13th, 2014 University of Osnabrück,
... Why it exists: We see it in system we assume to be closed. Why it does not exist: There are issues with the underlying theory: Quantum Mechanics (Non-eq.) Thermodynamics autonomous dynamics of a few macrovariables attractive fixed point, equilibrium often describable by master equations, Fokker-Plan ...
... Why it exists: We see it in system we assume to be closed. Why it does not exist: There are issues with the underlying theory: Quantum Mechanics (Non-eq.) Thermodynamics autonomous dynamics of a few macrovariables attractive fixed point, equilibrium often describable by master equations, Fokker-Plan ...
Cryptography.ppt - 123SeminarsOnly.com
... only one key is used by both Bob and Alice. The same key is used to both encode and decode the plaintext. Even the algorithm used in the encoding and decoding process can be announced over an unsecured channel. The code will remain uncracked as long as the key used remains secret. ...
... only one key is used by both Bob and Alice. The same key is used to both encode and decode the plaintext. Even the algorithm used in the encoding and decoding process can be announced over an unsecured channel. The code will remain uncracked as long as the key used remains secret. ...
AD26188191
... then? Basic task of position-verification is that, receiver has to convince verifier that he is located at particular location. This technique is successful when there are many restrictions on adversaries. First position-based quantum techniques were investigated by Kent in 2002 which is known as qu ...
... then? Basic task of position-verification is that, receiver has to convince verifier that he is located at particular location. This technique is successful when there are many restrictions on adversaries. First position-based quantum techniques were investigated by Kent in 2002 which is known as qu ...
Document
... There are lot of results already in literature to study the possibility of doing inexact quantum cloning in different quantum systems(see, arXiv) One can also prove no-cloning theorem using some other physical constraints on the system. We will do some later. Ref:-Wootters & Zurek, Nature, 299(1982) ...
... There are lot of results already in literature to study the possibility of doing inexact quantum cloning in different quantum systems(see, arXiv) One can also prove no-cloning theorem using some other physical constraints on the system. We will do some later. Ref:-Wootters & Zurek, Nature, 299(1982) ...
Main
... Introduction.– Deutsch’s algorithm is not only the first quantum algorithm but also one of the simplest [1]. Although the algorithm was working probabilistically in its original form, it has not been difficult to improve it to a deterministic one [2, 3]. The Deutsch algorithm involves two qubits and ...
... Introduction.– Deutsch’s algorithm is not only the first quantum algorithm but also one of the simplest [1]. Although the algorithm was working probabilistically in its original form, it has not been difficult to improve it to a deterministic one [2, 3]. The Deutsch algorithm involves two qubits and ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: