14 The Postulates of Quantum mechanics
... • Postulate 1: The state of a system is described completely in terms of a state vector Ψ(r, t), which is quadratically integrable. • Postulate 2: To every physically observable there exist a linear Hermitian operator. • Postulate 3: In any measurement of the observable associated with operator Â, ...
... • Postulate 1: The state of a system is described completely in terms of a state vector Ψ(r, t), which is quadratically integrable. • Postulate 2: To every physically observable there exist a linear Hermitian operator. • Postulate 3: In any measurement of the observable associated with operator Â, ...
Interference and Coulomb correlation effects in P. T
... response regime are calculated using the Green function formalism [9–13]. Since the systems with Coulomb interaction usually cannot be treated exactly, we applied the Hartree–Fock approximation scheme to calculate the Green functions from the relevant equations of motion. The average values of the o ...
... response regime are calculated using the Green function formalism [9–13]. Since the systems with Coulomb interaction usually cannot be treated exactly, we applied the Hartree–Fock approximation scheme to calculate the Green functions from the relevant equations of motion. The average values of the o ...
QuRE: The Quantum Resource Estimator Toolbox
... of each fault-tolerant gate type. We will denote fault-tolerant quantum gates at the m-th level of concatenation by appending the concatenation level: X(m) , Y(m) , Z(m) , CN OT(m) , H(m) , S(m) , T(m) . Note that at the lowest level m = 0 the gates correspond to the instructions of the quantum comp ...
... of each fault-tolerant gate type. We will denote fault-tolerant quantum gates at the m-th level of concatenation by appending the concatenation level: X(m) , Y(m) , Z(m) , CN OT(m) , H(m) , S(m) , T(m) . Note that at the lowest level m = 0 the gates correspond to the instructions of the quantum comp ...
Matthew Neeley, , 722 (2009); DOI: 10.1126/science.1173440
... path, as predicted by Berry (11–13). For a 2protation (W = 2p), integer spins are unchanged, whereas half-integer spins are multiplied by −1. This parity difference leads to the symmetric statistics of bosons (or antisymmetric statistics of fermions) under exchange, as described by the spin-statisti ...
... path, as predicted by Berry (11–13). For a 2protation (W = 2p), integer spins are unchanged, whereas half-integer spins are multiplied by −1. This parity difference leads to the symmetric statistics of bosons (or antisymmetric statistics of fermions) under exchange, as described by the spin-statisti ...
- Philsci
... with a sense of rational inevitability. Varela’s dissolution is not only one possible way out among many others; it is a paradigm which tends to creep into several other (apparently opposite) views in the philosophy of mind, and which is moreover in remarkable agreement with the present state of the ...
... with a sense of rational inevitability. Varela’s dissolution is not only one possible way out among many others; it is a paradigm which tends to creep into several other (apparently opposite) views in the philosophy of mind, and which is moreover in remarkable agreement with the present state of the ...
QUANTUM MONTE CARLO SIMULATION OF TUNNELLING DEVICES USING WAVEPACKETS AND BOHM TRAJECTORIES
... but I can safely say that, like the modest artist that tries to express himself in his own work without worrying about anything else, I have tried to do the best of myself in this work, sincerely and honestly. First of all, I want to express my most sincere gratitude to Jordi Suñé, my thesis advisor ...
... but I can safely say that, like the modest artist that tries to express himself in his own work without worrying about anything else, I have tried to do the best of myself in this work, sincerely and honestly. First of all, I want to express my most sincere gratitude to Jordi Suñé, my thesis advisor ...
Quantum gravity without gravitons in a superfluid quantum space.
... of its internal energy due to absorption of SQ. But this only has to occur in unbound neutral particles, i.e. where no exchange of SQ with adjacent vortices occurs. We indeed observe decay in unbound neutral particles such as isolated neutrons, whose mean lifetime is 881s. A prediction of this theor ...
... of its internal energy due to absorption of SQ. But this only has to occur in unbound neutral particles, i.e. where no exchange of SQ with adjacent vortices occurs. We indeed observe decay in unbound neutral particles such as isolated neutrons, whose mean lifetime is 881s. A prediction of this theor ...
Quantum Factorization of 143 on a Dipolar
... Hp ¼ Hpi is a summation of all the bitwise Hamiltonians. In this way, the ground state of Hp encodes the two factors that satisfy all the bitwise equations and is the answer to our factoring problem. Thus the spectrum of Hp will not scale with N but log2 N. However, Schaller and Schützhold’s scheme ...
... Hp ¼ Hpi is a summation of all the bitwise Hamiltonians. In this way, the ground state of Hp encodes the two factors that satisfy all the bitwise equations and is the answer to our factoring problem. Thus the spectrum of Hp will not scale with N but log2 N. However, Schaller and Schützhold’s scheme ...
The effect of quantum confinement and discrete dopants in
... Online at stacks.iop.org/Nano/13/294 Abstract In this paper, we investigate the effects of quantum confinement at the Si–SiO2 interface on the properties of MOSFETs with a channel length of 50 nm. To this end, we have developed a three-dimensional Poisson–Schrödinger solver, based on an approximati ...
... Online at stacks.iop.org/Nano/13/294 Abstract In this paper, we investigate the effects of quantum confinement at the Si–SiO2 interface on the properties of MOSFETs with a channel length of 50 nm. To this end, we have developed a three-dimensional Poisson–Schrödinger solver, based on an approximati ...
- Philsci
... Hamiltonian. That means that the position-value of each individual particle can be linearly transformed in its own independent way, without any change in the form of the dynamics. However, if we now introduce an interaction potential V in the Hamiltonian, dependent on the differences between the par ...
... Hamiltonian. That means that the position-value of each individual particle can be linearly transformed in its own independent way, without any change in the form of the dynamics. However, if we now introduce an interaction potential V in the Hamiltonian, dependent on the differences between the par ...
Probing Quantum Frustrated Systems via Factorization of the
... models characterized by a rapidly decaying fr , and hence by low frustration, allow for GS factorization and the associated SA or DA orders. Vice versa, models with slowly decaying fr , corresponding to strong frustration, do not admit factorized GS and simple mean-field and classical-like descripti ...
... models characterized by a rapidly decaying fr , and hence by low frustration, allow for GS factorization and the associated SA or DA orders. Vice versa, models with slowly decaying fr , corresponding to strong frustration, do not admit factorized GS and simple mean-field and classical-like descripti ...
Quantum dynamics of cold trapped ions with application to quantum
... in a network of quantum mechanical two-level systems, such as spin-1/2 particles or two-level atoms. The quantum mechanical nature of such systems allows the possibility of a powerful new feature to be incorporated into data processing, namely, the capability of performing logical operations upon qu ...
... in a network of quantum mechanical two-level systems, such as spin-1/2 particles or two-level atoms. The quantum mechanical nature of such systems allows the possibility of a powerful new feature to be incorporated into data processing, namely, the capability of performing logical operations upon qu ...
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... Quantum States and Superposition: While classical bits exist in only one of the binary states at any given time, quantum bits, or qubits, can exist in a superposition state, which is a linear combination of the |0i and |1i states. This extends to multiple qubits, i.e. a quantum mechanical system wit ...
... Quantum States and Superposition: While classical bits exist in only one of the binary states at any given time, quantum bits, or qubits, can exist in a superposition state, which is a linear combination of the |0i and |1i states. This extends to multiple qubits, i.e. a quantum mechanical system wit ...
Half-integral weight Eichler integrals and quantum modular forms
... and Zagier [16]. Although the proof is more difficult for general weight modular forms, they formally considered the same Eichler integral as defined above for certain weight 3/2 theta e 1 (1 − γ) (where γ is any element of the functions ϑ. Even though it is impossible for ϑ| ...
... and Zagier [16]. Although the proof is more difficult for general weight modular forms, they formally considered the same Eichler integral as defined above for certain weight 3/2 theta e 1 (1 − γ) (where γ is any element of the functions ϑ. Even though it is impossible for ϑ| ...
Noise Robustness of the Nonlocality of Entangled Quantum States
... In 1964, Bell showed that some entangled states are nonlocal, in the sense that measurements on them yield outcome correlations that cannot be reproduced by a locally causal model [1]. This nonlocal character of entangled states may be demonstrated through the violation of Bell inequalities. All pur ...
... In 1964, Bell showed that some entangled states are nonlocal, in the sense that measurements on them yield outcome correlations that cannot be reproduced by a locally causal model [1]. This nonlocal character of entangled states may be demonstrated through the violation of Bell inequalities. All pur ...
Universal computation by multi-particle quantum walk
... • Applies generically to multi-particle quantum walks with indistinguishable particles. • Establishes the computational power of interacting many-body systems such as the BoseHubbard model, fermions with nearest neighbour interactions, and more. Our method for performing universal computation exploi ...
... • Applies generically to multi-particle quantum walks with indistinguishable particles. • Establishes the computational power of interacting many-body systems such as the BoseHubbard model, fermions with nearest neighbour interactions, and more. Our method for performing universal computation exploi ...
Exact solutions and the adiabatic heuristic for quantum Hall states
... (3) The object of the exercise is of course not so much to provide an elegant path to Laughlin’s wave functions, as to supply an argument for their incompressibility. The construction is robust, if the gap in the excitation spectrum of the initial state then a consequence of Landau-level quantizatio ...
... (3) The object of the exercise is of course not so much to provide an elegant path to Laughlin’s wave functions, as to supply an argument for their incompressibility. The construction is robust, if the gap in the excitation spectrum of the initial state then a consequence of Landau-level quantizatio ...