Quantum tomography via compressed sensing: error bounds, sample complexity and... estimators
... ˆ and use DFE to check whether ρˆ agrees with the true state ρ. This check is guaranteed to be sound even if the true state ρ is not approximately low rank. Our extension of DFE may be of more general interest, since it can be used to efficiently certify any estimate ρˆ regardless of whether it was ...
... ˆ and use DFE to check whether ρˆ agrees with the true state ρ. This check is guaranteed to be sound even if the true state ρ is not approximately low rank. Our extension of DFE may be of more general interest, since it can be used to efficiently certify any estimate ρˆ regardless of whether it was ...
Graviton Physics
... The calculation of photon interactions with matter is a staple in an introductory (or advanced) quantum mechanics course. Indeed the evaluation of the Compton scattering cross section is a standard exercise in relativistic quantum mechanics, since gauge invariance together with the masslessness of t ...
... The calculation of photon interactions with matter is a staple in an introductory (or advanced) quantum mechanics course. Indeed the evaluation of the Compton scattering cross section is a standard exercise in relativistic quantum mechanics, since gauge invariance together with the masslessness of t ...
Extended criticality, phase spaces and enablement in biology
... assumption of “molecular chaos” (ergodicity). In statistical mechanics, ensembles of random objects are considered as the pertinent objects, and observables are derived as aspects of their (parameterized) statistics. It should be clear that, while the term phase space is often restricted to a positi ...
... assumption of “molecular chaos” (ergodicity). In statistical mechanics, ensembles of random objects are considered as the pertinent objects, and observables are derived as aspects of their (parameterized) statistics. It should be clear that, while the term phase space is often restricted to a positi ...
Quantum correlations and distinguishability of quantum states
... systems to accomplish information-processing tasks which are either not feasible classically or are done classically much less efficiently [117]. These tasks can be related to a computational problem or to communication, for instance, sending encrypted information in a secure way. Computational task ...
... systems to accomplish information-processing tasks which are either not feasible classically or are done classically much less efficiently [117]. These tasks can be related to a computational problem or to communication, for instance, sending encrypted information in a secure way. Computational task ...
3.3 The time-dependent Schrödinger equation
... and the time-dependent Schrödinger equations making these two equations compatible ...
... and the time-dependent Schrödinger equations making these two equations compatible ...
Dynamics of the quantum Duffing oscillator in the driving induced q
... limit. The short time dynamics of such a type of master equation is an interesting issue by itself since it is related to the question of complete positivity and to the question of factorizing initial conditions [8,9]. Moreover, we note that the master equation (7) is valid only in the case of weak ...
... limit. The short time dynamics of such a type of master equation is an interesting issue by itself since it is related to the question of complete positivity and to the question of factorizing initial conditions [8,9]. Moreover, we note that the master equation (7) is valid only in the case of weak ...
The Structure of Scientific Theory Change
... conception is largely sound, its basic tenet, that formulations are irrelevant to theory structure, is unsound and must be modified. It must be remarked that my treatments of these examples fall far short of detailed case studies. Such studies for these, and related examples, I hope to carry out in ...
... conception is largely sound, its basic tenet, that formulations are irrelevant to theory structure, is unsound and must be modified. It must be remarked that my treatments of these examples fall far short of detailed case studies. Such studies for these, and related examples, I hope to carry out in ...
Imaging electrostatically confined Dirac fermions in graphene
... but reflects them at larger angles of incidence1,4,5 . In a potential well with circular symmetry, electrons with high angular momenta are obliquely incident on the barrier and are internally reflected, thus leading to particle confinement and the formation of quasibound quantum dot states7–12 . As ...
... but reflects them at larger angles of incidence1,4,5 . In a potential well with circular symmetry, electrons with high angular momenta are obliquely incident on the barrier and are internally reflected, thus leading to particle confinement and the formation of quasibound quantum dot states7–12 . As ...
System Science of Virtual Reality
... The underlying concepts are relatively easy to grasp if approached with persistence and genuine scepticism8 . Hence the discussion will be kept as simple and approachable as possible and will use concrete examples. If there is a choice between approaches, the more accessible approach is used wherev ...
... The underlying concepts are relatively easy to grasp if approached with persistence and genuine scepticism8 . Hence the discussion will be kept as simple and approachable as possible and will use concrete examples. If there is a choice between approaches, the more accessible approach is used wherev ...
72 063623 (2005) .
... quantum phenomena, in particular, in quantum information processes 关1兴. The realization of Bose-Einstein condensation 共BEC兲 in dilute gases has provided a different tool for such investigations 关2兴. In the other aspect, the instability issue of Bose-Einstein condensation 共BEC兲 has been constantly ad ...
... quantum phenomena, in particular, in quantum information processes 关1兴. The realization of Bose-Einstein condensation 共BEC兲 in dilute gases has provided a different tool for such investigations 关2兴. In the other aspect, the instability issue of Bose-Einstein condensation 共BEC兲 has been constantly ad ...
Phase diffusion pattern in quantum nondemolition systems
... context of open systems [36]. The bath is taken to be initially in a squeezed thermal state, from which the common thermal bath results may be easily extracted by setting the squeezing parameters to zero. In Section III, we define the phase distribution for an oscillator system, following Agarwal et ...
... context of open systems [36]. The bath is taken to be initially in a squeezed thermal state, from which the common thermal bath results may be easily extracted by setting the squeezing parameters to zero. In Section III, we define the phase distribution for an oscillator system, following Agarwal et ...
Lecture, Week 1: September 27th - October 3rd, 1999 Outline 1
... Potential advantages in quantum computing stem from qubits in superposition interacting nonlocally by quantum coherence or entanglement, implementing near-infinite quantum parallelism. These interactions perform computations and, at some point, the qubits all collapse, or reduce to a single set of c ...
... Potential advantages in quantum computing stem from qubits in superposition interacting nonlocally by quantum coherence or entanglement, implementing near-infinite quantum parallelism. These interactions perform computations and, at some point, the qubits all collapse, or reduce to a single set of c ...
From Parametricity to Conservation Laws, via Noether`s Theorem
... we have used invariance under translation in space to derive conservation of linear momentum. Other common examples include invariance under translation in time, yielding conservation of energy, and invariance under rotation, yielding conservation of angular momentum. We will see examples of each of ...
... we have used invariance under translation in space to derive conservation of linear momentum. Other common examples include invariance under translation in time, yielding conservation of energy, and invariance under rotation, yielding conservation of angular momentum. We will see examples of each of ...
Critical and oÿ-critical singularities in disordered quantum magnets H. Rieger
... of the order parameter þeld (the magnetization), the thermal exponent ü and the dynamical exponent z give a complete description of the transition via a set of scaling relations. In 1d it is by now well established [9, 10, 11] that various physical quantities have a logarithmically broad distributio ...
... of the order parameter þeld (the magnetization), the thermal exponent ü and the dynamical exponent z give a complete description of the transition via a set of scaling relations. In 1d it is by now well established [9, 10, 11] that various physical quantities have a logarithmically broad distributio ...
