Lecture 7
... More specific: Is it possible by using only black box techniques? And not the precise problem structure E.g. SAT Problem: given a CNF formula on n variables, is there a satisfying assignment? Trivial approach: Try all 2n assignments of the variables Can a quantum computer do this efficiently? ...
... More specific: Is it possible by using only black box techniques? And not the precise problem structure E.g. SAT Problem: given a CNF formula on n variables, is there a satisfying assignment? Trivial approach: Try all 2n assignments of the variables Can a quantum computer do this efficiently? ...
Statistical Mechanics to Disordered Quantum Optimization
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
... Thus, in Chapter 2, we review the classical complexity theory necessary to understand the important statement that P 6= NP and its more recent quantum generalization BQP 6= QMA. These complexity theoretic conjectures essentially assert that there exist natural classes of problems (called NP-complet ...
Resonances, dissipation and decoherence in exotic and artificial atoms
... in fact, almost the only option for high precision measurments on antiparticles. For example, the lifetime of antiprotons when trapped in metastable states in helium increases by six orders of magnitude compared to their lifetime in collisions with ordinary matter. The resulting exotic system consis ...
... in fact, almost the only option for high precision measurments on antiparticles. For example, the lifetime of antiprotons when trapped in metastable states in helium increases by six orders of magnitude compared to their lifetime in collisions with ordinary matter. The resulting exotic system consis ...
Quantum Process on 1 quabit system Au Tung Kin 2009264740 1
... of electrons is uncertain, that is, we may have nonzero probability to get spin up or spin down after measurement. Thus, the state of an electron is more complicated rather than either spin up or down. Since the measurement outcomes are only two, it is “one qubit” system. In mathematics, we use vect ...
... of electrons is uncertain, that is, we may have nonzero probability to get spin up or spin down after measurement. Thus, the state of an electron is more complicated rather than either spin up or down. Since the measurement outcomes are only two, it is “one qubit” system. In mathematics, we use vect ...
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... mass. On the other hand, the QCD gluons are massless, and their strong interac1on is not damped by a small parameter. As a result, the QCD vacuum polariza1on effect is extremely strong, and the empt ...
... mass. On the other hand, the QCD gluons are massless, and their strong interac1on is not damped by a small parameter. As a result, the QCD vacuum polariza1on effect is extremely strong, and the empt ...
On the work of Igor Frenkel
... of which was later published in the paper [Fth]. In his thesis, Frenkel adapts the orbital theory of A. A. Kirillov to the setting of affine Lie algebras, giving, in particular, a formula for the characters of irreducible highest weight representations in terms of orbital integrals. The technical to ...
... of which was later published in the paper [Fth]. In his thesis, Frenkel adapts the orbital theory of A. A. Kirillov to the setting of affine Lie algebras, giving, in particular, a formula for the characters of irreducible highest weight representations in terms of orbital integrals. The technical to ...
Process, System, Causality, and Quantum Mechanics, A
... space as prob(P) = trace(PD) and D’T = TD respectively, where P is a projection, D and D’ are (von Neumann) density matrices, and T is a unitary transformation. We’ll see that if we regard link states as density matrices, the algebraic forms of these two core laws occur as completely general theorem ...
... space as prob(P) = trace(PD) and D’T = TD respectively, where P is a projection, D and D’ are (von Neumann) density matrices, and T is a unitary transformation. We’ll see that if we regard link states as density matrices, the algebraic forms of these two core laws occur as completely general theorem ...
Narrowband biphotons with polarization-frequency
... S = 2.2 ± 0.1. Once we obtain this state, we can produce the other three independent Bell states using additional birefringent phase shifters (such as wave plates) [31]. The method demonstrated here is much simpler than that in the recent work [22], and it does not require any phase stabilization. I ...
... S = 2.2 ± 0.1. Once we obtain this state, we can produce the other three independent Bell states using additional birefringent phase shifters (such as wave plates) [31]. The method demonstrated here is much simpler than that in the recent work [22], and it does not require any phase stabilization. I ...
Partially Nondestructive Continuous Detection of Individual Traveling Optical Photons
... generation and processing [1–9]. Quantum state detection, a particular type of processing, is at the heart of quantum mechanics and has profound implications for quantum information technologies. Photons are standardly detected by converting a photon’s energy into a measurable signal, thereby destro ...
... generation and processing [1–9]. Quantum state detection, a particular type of processing, is at the heart of quantum mechanics and has profound implications for quantum information technologies. Photons are standardly detected by converting a photon’s energy into a measurable signal, thereby destro ...
Presentation Part A - High Speed Digital Systems Laboratory
... synchronization and Enables the ADD function in the receiver. Quantum Encryption System -Synchronization ...
... synchronization and Enables the ADD function in the receiver. Quantum Encryption System -Synchronization ...
Nonlinear response of a driven vibrating nanobeam in the quantum...
... of the standard Duffing oscillator [24]–[26], also when thermal fluctuations are included [39]. While we have approached the problem in [34, 38] by numerical means, we present in this paper a complete analytical investigation of the dynamics of the quantum Duffing oscillator. We intend to elucidate ...
... of the standard Duffing oscillator [24]–[26], also when thermal fluctuations are included [39]. While we have approached the problem in [34, 38] by numerical means, we present in this paper a complete analytical investigation of the dynamics of the quantum Duffing oscillator. We intend to elucidate ...
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... photons. In the general case we will consider a superposition j c ph i ¼ 0 j0i þ 1 j1i þ 2 j2i of 0, 1, and 2 photons for the incoming state, and the aim will be to introduce a minus sign in the two-photon state, to get Uð2Þ j c ph i ¼ 0 j0i þ 1 j1i 2 j2i. A way to achieve that is based on t ...
... photons. In the general case we will consider a superposition j c ph i ¼ 0 j0i þ 1 j1i þ 2 j2i of 0, 1, and 2 photons for the incoming state, and the aim will be to introduce a minus sign in the two-photon state, to get Uð2Þ j c ph i ¼ 0 j0i þ 1 j1i 2 j2i. A way to achieve that is based on t ...
Observation of magnetic fragmentation in spin ice
... K = 4κ|h↑|T |↓i|2 . For Nd2 Zr2 O7 , gJ = 8/11, gx = gy = 0 and gz = 4.5. The Hamiltonian parameters J 0 and K can be estimated by fitting the inelastic neutron scattering spectra. From calculations in the random phase approximation (RPA)22–25 (see Supplementary Information), it is found that the ba ...
... K = 4κ|h↑|T |↓i|2 . For Nd2 Zr2 O7 , gJ = 8/11, gx = gy = 0 and gz = 4.5. The Hamiltonian parameters J 0 and K can be estimated by fitting the inelastic neutron scattering spectra. From calculations in the random phase approximation (RPA)22–25 (see Supplementary Information), it is found that the ba ...
Coherent Population Trapping of an Electron Spin in a Singly
... coherent superposition of two ground states which are coupled by coherent optical fields to an intermediate state in a three-level atomic system [1]. Recently, CPT has been observed in an ensemble of donor bound spins in GaAs [2] and in single nitrogen vacancy centers in diamond [3] by using a fluor ...
... coherent superposition of two ground states which are coupled by coherent optical fields to an intermediate state in a three-level atomic system [1]. Recently, CPT has been observed in an ensemble of donor bound spins in GaAs [2] and in single nitrogen vacancy centers in diamond [3] by using a fluor ...
Few-Particle Effects in Semiconductor Quantum Dots: Spectrum Calculations on
... symmetry in semiconductor quantum dots using configuration interaction calculation. Moreover, to compare with the experimental data, we studied the effects of hidden symmetry. The 2D single-band model and the 3D single-band model were used to generate the single-particle states. How the spectra affe ...
... symmetry in semiconductor quantum dots using configuration interaction calculation. Moreover, to compare with the experimental data, we studied the effects of hidden symmetry. The 2D single-band model and the 3D single-band model were used to generate the single-particle states. How the spectra affe ...
Quantum Mechanics as Quantum Information
... from the chaff. If the quantum state represents subjective information, then how much of its mathematical support structure might be of that same character? Some of it, maybe most of it, but surely not all of it. Our foremost task should be to go to each and every axiom of quantum theory and give i ...
... from the chaff. If the quantum state represents subjective information, then how much of its mathematical support structure might be of that same character? Some of it, maybe most of it, but surely not all of it. Our foremost task should be to go to each and every axiom of quantum theory and give i ...
B-1 - Interactive Physics
... The rocket equations are combined with an if() function as follows: if(time<100, 20000-100*time, 10000) ...
... The rocket equations are combined with an if() function as follows: if(time<100, 20000-100*time, 10000) ...
fundamental forces and elementary particle
... may go via the weak interaction (hereafter denoted WI) as well as the SI. However, the SI is so much more likely (by a factor of 1013 ) that the reaction has never been observed to go via the WI. In fact, there are only nine particles which do not interact strongly: these are the electron and its an ...
... may go via the weak interaction (hereafter denoted WI) as well as the SI. However, the SI is so much more likely (by a factor of 1013 ) that the reaction has never been observed to go via the WI. In fact, there are only nine particles which do not interact strongly: these are the electron and its an ...
Quantum Heat Engines and Refrigerators: Continuous Devices
... The device operates as a refrigerator by removing an excitation from the cold bath as well as from the work bath and generating an excitation in the hot bath. The term ↠b̂ĉ in the Hamiltonian of Equation 6 describes this action (see Section 3). One can employ different types of heat baths, inclu ...
... The device operates as a refrigerator by removing an excitation from the cold bath as well as from the work bath and generating an excitation in the hot bath. The term ↠b̂ĉ in the Hamiltonian of Equation 6 describes this action (see Section 3). One can employ different types of heat baths, inclu ...
The Wave Equation - NC State University
... in free space is a wave. Mathematically we can express a wave as a sine or cosine function. These functions are oscillating functions. We will derive the wave equation in free space starting with one of its solutions: sin(x). Before we begin it is important to realize that bound states may provide d ...
... in free space is a wave. Mathematically we can express a wave as a sine or cosine function. These functions are oscillating functions. We will derive the wave equation in free space starting with one of its solutions: sin(x). Before we begin it is important to realize that bound states may provide d ...