Quantum States and Operators
Tensor Network Representation of Many-Body Quantum States and Unitary Operators
... a quantum-many body system is the pattern of entanglement individual constituents of the system have with each ...the quantum states have been represented as a superposition of conveniently chosen ...
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Displacement and Squeeze Operators of a Three-Dimensional Harmonic Oscillator and Their Associated Quantum States
... displacement operators of the one-dimensional harmonic oscillator to the three-dimensional case and based on these operators we construct the corresponding coherent and squeezed ...
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Interpretations on Quantum Fuzzy Computing: Intuitionistic Fuzzy Operations × Quantum Operators
... of quantum states may be simultaneously performed by the superposition of membership and non-membership degrees of each element regarding the intuitionistic fuzzy ...through quantum computing, where ...
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Rotating quantum states
... which states con- taining particles are ...to operators, the expansion coefficients of the positive frequency modes being particle annihilation ...a quantum scalar field by the fact that positive ...
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Pseudorandom Quantum States
... of quantum pseudorandom unitary operators ...the quantum Fourier transform [27], or by interleaving random diagonal unitaries with the Hadamard transform [45,44], and iterating this construction ...
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CiteSeerX — Quantum Theory of Geometry I: Area Operators
... of quantum geometry that has emerged here is strikingly di erent from the one in perturbative, Fock ...(kinematic) quantum states should carry a representation of the C ? -algebra generated by the ...
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Relativity of quantum states and observables
... “absolute” operators as formally repre- senting their relative counterparts; as well as relativising the familiar quantities just discussed, U also relativises any “absolute” quantity represented by an arbitrary ...
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Quantum States as Informational Bridges
... adequate quantum model of a system s only while s remains isolated from interaction with other quantum systems: If s is subjected to such interactions, this can also be modeled by the unitary evolution of a ...
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Quantum Contextuality with Stabilizer States
... in quantum information theory because of their usefulness in describing quantum states and operations and their readily understood symmetry ...well-understood quantum error correcting ...
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Monge Distance between Quantum States
... Ω H(α)dm(α) = 1 and H ≥ 0, it follows that a metric in the space of probability densities Q : Ω → R + induces a metric in the state space. In this work we propose to measure the distance between density operators ...
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Wave Functions, Creation and Annihilation Operators of Quantum Physical System
... Denote by P U , the set of pure states on C * -algebra U , P U ⊂ E U . In the set of all linear continue functional on C * -algebra U we have topological structure which is called as *weakly topological structure ...
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Physical properties as modal operators in the topos approach to quantum mechanics
... superposition states in which it is wrong to say that either P or its negation ¬P hold in accordance with the association of the join operation with the smallest closed subspace including the projection ...
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Quadratic forms, unbounded self-adjoint operators and quantum observables
... of quantum mechanics the observables are characterised by the quadratic forms associated to the self- adjoint operators that describe the corresponding observables in the standard for- ...self-adjoint ...
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A Functional Model for Quantum Mechanics: Unbounded Operators
... There exist already at least two models of functional calculus for several operators. They are the holomorphic calculus of Taylor [31], [32] based on several complex variable theory and the Weyl calculus ...
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ON CHARACTERIZATION OF POSINORMAL OPERATORS AND THEIR APPLICATIONS IN QUANTUM MECHANICS
... linear operators on Hilbert spaces are quite familiar (Michael ...between quantum and classical mechanics since in the latter we don’t talk about ...linear operators acting on a Hilbert space ...
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1 Lecture 3: Operators in Quantum Mechanics
... is a new function. We can therefore say, by the definition of operators, that ˆ A ˆ B is an operator which we can denote by ˆ C: C is the product of operators ˆ ˆ A and ˆ B. The meaning of ˆ A ˆ Bf (x) ...
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Geometry of Quantum States
... These systems form various probability spaces. Their geometric structure may not be determined a priori by any theory but it should be studied by the experiment. The problem is: can each[r] ...
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The Learnability of Quantum States
... a quantum state, it suffices to do what we call pretty-good tomography— requiring a number of measurements that grows only linearly with the number of qubits ...in quantum com- puting and ...and ...
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Product Operators 6.1 A quick review of quantum mechanics
... The main difficulty with the product operator method is that the more pulses and delays that are introduced the greater becomes the number of operators and the more complex the trigonometrical expressions ...
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Bound states in continuum: Quantum dots in a quantum well
... in quantum rods is purely due to the interplay of the combined well and dot ...idealized quantum rod structure presented in ...realistic quantum rods presents the 3D gen- eralization of the 2D ...
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