preskill-ARO-2013 - Caltech Particle Theory
... • Power of quantum computing. Simulating quantum field theories, preparing thermal states, obfuscating quantum circuits with braids, quantum-resistant public key based on multivariate quadratic equations, quantum algorithms for interpolating band-limited functions on continuous groups, probability d ...
... • Power of quantum computing. Simulating quantum field theories, preparing thermal states, obfuscating quantum circuits with braids, quantum-resistant public key based on multivariate quadratic equations, quantum algorithms for interpolating band-limited functions on continuous groups, probability d ...
PPT - LSU Physics & Astronomy
... Here we take the optimal state, outputted by the code, at each loss level and project it on to one of three know states, NOON, M&M, and Generalized Coherent. The conclusion from this plot is that The optimal states found by the computer code are N00N states for very low loss, M&M states for intermed ...
... Here we take the optimal state, outputted by the code, at each loss level and project it on to one of three know states, NOON, M&M, and Generalized Coherent. The conclusion from this plot is that The optimal states found by the computer code are N00N states for very low loss, M&M states for intermed ...
- Purdue e-Pubs
... where Ut and Ua ∈ U 2 and f = 0 when Ut = Ua . Since the global phase differences between two quantum systems are physically indistinguishable; when Ut and Ua are different only in terms of their global phases, the value of f should be zero. However, Eq. (1) is unlikely to produce zero for this case ...
... where Ut and Ua ∈ U 2 and f = 0 when Ut = Ua . Since the global phase differences between two quantum systems are physically indistinguishable; when Ut and Ua are different only in terms of their global phases, the value of f should be zero. However, Eq. (1) is unlikely to produce zero for this case ...
PDF
... lift the degeneracy (i.e., cause an observable splitting of the corresponding energy levels). This effect occurs in certain paramagnetic ion systems via dynamic distortions of the crystal field symmetries around paramagnetic or high-spin centers by moving ligands that are diamagnetic. The establishe ...
... lift the degeneracy (i.e., cause an observable splitting of the corresponding energy levels). This effect occurs in certain paramagnetic ion systems via dynamic distortions of the crystal field symmetries around paramagnetic or high-spin centers by moving ligands that are diamagnetic. The establishe ...
Semiclassical formula for the number variance of the Riemann zeros
... conform to GUE predictions, long-range statistics (such as the correlations between distant spacings) do not, and are better described in terms of primes. I have argued elsewhere [ 5 , 6 ] that exactly this behaviour would be expected if the E, were eigenvalues not of a random matrix but of the Hami ...
... conform to GUE predictions, long-range statistics (such as the correlations between distant spacings) do not, and are better described in terms of primes. I have argued elsewhere [ 5 , 6 ] that exactly this behaviour would be expected if the E, were eigenvalues not of a random matrix but of the Hami ...
Electron-Electron Scattering in a Double Quantum Dot
... rial used in creating the QDs can enable resonance between the states in the electron-hole pair and a single charge carrier, as well as between electron or hole states. Thus, interdot energy transfer processes accompanying the intraband transitions can be induced by Coulomb coupling. A simple analys ...
... rial used in creating the QDs can enable resonance between the states in the electron-hole pair and a single charge carrier, as well as between electron or hole states. Thus, interdot energy transfer processes accompanying the intraband transitions can be induced by Coulomb coupling. A simple analys ...
Probing charge fluctuator correlations using quantum dot pairs Purohit, er, tt
... systems with different energy spacings. These emit photons of different frequencies, which can be measured by two time-resolving detectors. The QDs are driven by lasers with different frequencies to match their respective resonances, although each can be slightly detuned from this condition. In addi ...
... systems with different energy spacings. These emit photons of different frequencies, which can be measured by two time-resolving detectors. The QDs are driven by lasers with different frequencies to match their respective resonances, although each can be slightly detuned from this condition. In addi ...
14-06-16_PLCQC - Columbia University
... evolution of the Hamiltonian of a quantum system • To solve a given problem we initialize the system to the ground state of a simple Hamiltonian • We then evolve the Hamiltonian to one whose ground state encodes the solution to the problem • The evolution needs to be done slowly to always keep the e ...
... evolution of the Hamiltonian of a quantum system • To solve a given problem we initialize the system to the ground state of a simple Hamiltonian • We then evolve the Hamiltonian to one whose ground state encodes the solution to the problem • The evolution needs to be done slowly to always keep the e ...
as a PDF
... Of the recent advances in quantum algorithms, one of the most impressive to date is Shor’s algorithm for discrete logs and factorization [1], which gives an exponential speedup over classical algorithms. Vedral, Barenco and Ekert [2] have shown how to implement the necessary modular exponentiation o ...
... Of the recent advances in quantum algorithms, one of the most impressive to date is Shor’s algorithm for discrete logs and factorization [1], which gives an exponential speedup over classical algorithms. Vedral, Barenco and Ekert [2] have shown how to implement the necessary modular exponentiation o ...
Outline of section 4
... This corresponds to expanding the wavefunction in the complete set of eigenstates of the operator for the physical quantity we are measuring and interpreting the modulus squared of the expansion coefficients as the probability of getting a particular result. This is the general form of the Born inte ...
... This corresponds to expanding the wavefunction in the complete set of eigenstates of the operator for the physical quantity we are measuring and interpreting the modulus squared of the expansion coefficients as the probability of getting a particular result. This is the general form of the Born inte ...
Electron phase coherence
... Usually it is assumed that in a magnetic field the sample properties change significantly. Thus one can think that at each magnetic field a sample represents a realization of an ensemble (so-called ergodic hypothesis) . Consequently, one can average over magnetic fields rather then over different sa ...
... Usually it is assumed that in a magnetic field the sample properties change significantly. Thus one can think that at each magnetic field a sample represents a realization of an ensemble (so-called ergodic hypothesis) . Consequently, one can average over magnetic fields rather then over different sa ...
Closed timelike curves make quantum and classical computing
... It was once believed that CTCs would lead inevitably to logical inconsistencies such as the Grandfather Paradox. But in a groundbreaking 1991 paper, Deutsch [9] showed that this intuition fails, provided the physics of the CTC is quantum-mechanical. Deutsch’s insight was that a CTC should simply be ...
... It was once believed that CTCs would lead inevitably to logical inconsistencies such as the Grandfather Paradox. But in a groundbreaking 1991 paper, Deutsch [9] showed that this intuition fails, provided the physics of the CTC is quantum-mechanical. Deutsch’s insight was that a CTC should simply be ...
