Embracing the quantum limit in silicon computing
... the quantum states arising from the two z-valleys, perpendicular to the two-dimensional layer, were nearly degenerate unless very large magnetic fields were applied97,98. Valley degeneracy could be a useful property of qubits99; however, in current experimental systems, it is thought that this degen ...
... the quantum states arising from the two z-valleys, perpendicular to the two-dimensional layer, were nearly degenerate unless very large magnetic fields were applied97,98. Valley degeneracy could be a useful property of qubits99; however, in current experimental systems, it is thought that this degen ...
Noncommuting Coordinates in the Landau Problem
... has gained much attention recently, but the idea actually predates string theory. Coordinate noncommutativity, defined by the equation [xi , xj ] = iθij ...
... has gained much attention recently, but the idea actually predates string theory. Coordinate noncommutativity, defined by the equation [xi , xj ] = iθij ...
Normal typicality and von Neumann`s quantum ergodic theorem
... research about whether for given operators A1 , . . . , Ak whose commutators are small one can find approximations Mi ≈ Ai that commute exactly; the answer is, for k ≥ 3 and general A1 , . . . , Ak , no (Choi 1988).) A macro-state can then be characterized by a list n = (m1 , . . . , mk ) of eigenval ...
... research about whether for given operators A1 , . . . , Ak whose commutators are small one can find approximations Mi ≈ Ai that commute exactly; the answer is, for k ≥ 3 and general A1 , . . . , Ak , no (Choi 1988).) A macro-state can then be characterized by a list n = (m1 , . . . , mk ) of eigenval ...
Renormalization Group Flows for Quantum Gravity
... Quantizing gravity by simply adding quantum fluctuations of the space-time metric around a background (eg flat R 4 space-time) is not perturbatively renormalizable. Renormalization is not just about removing infinities. In the modern (Wilsonian) point of view, the renormalization group (RG) is a flo ...
... Quantizing gravity by simply adding quantum fluctuations of the space-time metric around a background (eg flat R 4 space-time) is not perturbatively renormalizable. Renormalization is not just about removing infinities. In the modern (Wilsonian) point of view, the renormalization group (RG) is a flo ...
Direct Characterization of Quantum Dynamics: General Theory
... dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whether entanglement plays a fundamental role, and what potential applications emerge from such a theory linking QPT an ...
... dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whether entanglement plays a fundamental role, and what potential applications emerge from such a theory linking QPT an ...
Improved Quantum Metrology Using Quantum Error Correction
... V k σ x V †k ¼ σ x , where the transformed Hamiltonian UHk U † acts within a block. Up to Hadamard operations on particles 2; :::::; m, this corresponds to the situation described in scenario I, i.e., an m-qubit Hamiltonian, Hk ¼ σ ⊗m z , and local, single-qubit noise (X noise on particle 1 and Z no ...
... V k σ x V †k ¼ σ x , where the transformed Hamiltonian UHk U † acts within a block. Up to Hadamard operations on particles 2; :::::; m, this corresponds to the situation described in scenario I, i.e., an m-qubit Hamiltonian, Hk ¼ σ ⊗m z , and local, single-qubit noise (X noise on particle 1 and Z no ...
Specker`s Parable of the Over-protective Seer: A Road to
... in particular the recent state-specific pentagram proof of Klyachko; the impossibility of Bell-local models of quantum theory (Bell’s theorem), especially the proofs by Mermin and Hardy and extensions thereof; the impossibility of a preparation-noncontextual ontological model of quantum theory; and t ...
... in particular the recent state-specific pentagram proof of Klyachko; the impossibility of Bell-local models of quantum theory (Bell’s theorem), especially the proofs by Mermin and Hardy and extensions thereof; the impossibility of a preparation-noncontextual ontological model of quantum theory; and t ...
Grand unification and enhanced quantum gravitational effects
... be described by a grand unified gauge theory at sufficiently high energy scales has intrigued physicists for many years [1]. There are hints that the renormalization group evolution of the coupling constants of the standard model of particle physics, or possibly of its supersymmetric version, causes ...
... be described by a grand unified gauge theory at sufficiently high energy scales has intrigued physicists for many years [1]. There are hints that the renormalization group evolution of the coupling constants of the standard model of particle physics, or possibly of its supersymmetric version, causes ...
Shock waves, rarefaction waves and non
... In recent years there has been intense experimental and theoretical activity exploring the behavior of non-equilibrium quantum systems [1]. Stimulated by experiment on low-dimensional cold atomic gases [2], theoretical work has focused on the dynamics of integrable models and their novel thermalizat ...
... In recent years there has been intense experimental and theoretical activity exploring the behavior of non-equilibrium quantum systems [1]. Stimulated by experiment on low-dimensional cold atomic gases [2], theoretical work has focused on the dynamics of integrable models and their novel thermalizat ...
Quantum Manipulation of Two-Electron Spin States in
... system with a two-pulse procedure: one microsecond pulse that is varied over the dashed green rectangular region depicted in Fig. 2(b) and a fast fixed negative pulse to the gate L of 50 ns duration and of amplitude V ns equal to 80 mV; finally, we proceed to the spin measurement in bringing the sys ...
... system with a two-pulse procedure: one microsecond pulse that is varied over the dashed green rectangular region depicted in Fig. 2(b) and a fast fixed negative pulse to the gate L of 50 ns duration and of amplitude V ns equal to 80 mV; finally, we proceed to the spin measurement in bringing the sys ...
STUDY ON THE WAVE NATURE OF THE REST MASS
... (spin 2) or the Higg’s boson (spin 0), have never been proven in existence. For the purpose of this model, we will stay with the classical field concept. That is, we will regard a force to be associated with a field. How many fields are there in the universe? At present, there are only four known ph ...
... (spin 2) or the Higg’s boson (spin 0), have never been proven in existence. For the purpose of this model, we will stay with the classical field concept. That is, we will regard a force to be associated with a field. How many fields are there in the universe? At present, there are only four known ph ...
![arXiv:0905.2946v1 [cond-mat.str-el] 18 May 2009](http://s1.studyres.com/store/data/003310684_1-f6852d9094cc4ebe5853c88b867e67b0-300x300.png)
Mixed, pure, and entangled quantum states. Density matrix
... Decoherence is a loss of quantum correlations, which limits the functionality of qubits in information processing. It appears due to the interaction of a quantum system with its environment. The simplest case of an environment is another qubit coupled to the system of interest. When the entire syste ...
... Decoherence is a loss of quantum correlations, which limits the functionality of qubits in information processing. It appears due to the interaction of a quantum system with its environment. The simplest case of an environment is another qubit coupled to the system of interest. When the entire syste ...
Creation of entangled states in coupled quantum dots via adiabatic... C. Creatore, R. T. Brierley, R. T. Phillips,
... (Received 5 April 2012; revised manuscript received 24 September 2012; published 22 October 2012) Quantum state preparation through external control is fundamental to established methods in quantum information processing and in studies of dynamics. In this respect, excitons in semiconductor quantum ...
... (Received 5 April 2012; revised manuscript received 24 September 2012; published 22 October 2012) Quantum state preparation through external control is fundamental to established methods in quantum information processing and in studies of dynamics. In this respect, excitons in semiconductor quantum ...
Quantum Field Theory in Curved Spacetime
... • The Lagrangian, or equivalently, the equation of motion of the classical theory. • A quantization procedure, such as canonical quantization or the path integral approach. • The characterization of the quantum states. • The physical interpretation of the states and of the observables. In flat space ...
... • The Lagrangian, or equivalently, the equation of motion of the classical theory. • A quantization procedure, such as canonical quantization or the path integral approach. • The characterization of the quantum states. • The physical interpretation of the states and of the observables. In flat space ...
TQFTs - UCSB Math Department
... X ′ such that f is the identity on the boundary. (3) Two important conventions: the empty set ∅ is a manifold of each dimension n ≥ 0, and any diffeomorphism f : Y → Y is regarded as a bordism from Y to Y by forming the symmetric mapping cylinder Mf = Y × [0, 12 ] ∪f Y × [ 12 , 1]. Note that Mf and M ...
... X ′ such that f is the identity on the boundary. (3) Two important conventions: the empty set ∅ is a manifold of each dimension n ≥ 0, and any diffeomorphism f : Y → Y is regarded as a bordism from Y to Y by forming the symmetric mapping cylinder Mf = Y × [0, 12 ] ∪f Y × [ 12 , 1]. Note that Mf and M ...