cluster algebras in algebraic lie theory
... commutative ring with a distinguished set of generators and a particular type of relations. Although there can be infinitely many generators and relations, they are all obtained from a finite number of them by means of an inductive procedure called mutation. The precise definition of a cluster algeb ...
... commutative ring with a distinguished set of generators and a particular type of relations. Although there can be infinitely many generators and relations, they are all obtained from a finite number of them by means of an inductive procedure called mutation. The precise definition of a cluster algeb ...
Quantum computation and quantum information (PDF
... many physicists. According to this view, it does not make sense to ascribe intrinsic properties (such as position or velocity) to isolated quantum entities (such as electrons, photons or other elementary particles). The properties of quantum systems only make sense in light of the measurements we ma ...
... many physicists. According to this view, it does not make sense to ascribe intrinsic properties (such as position or velocity) to isolated quantum entities (such as electrons, photons or other elementary particles). The properties of quantum systems only make sense in light of the measurements we ma ...
generalized twist-deformed rindler space-times
... counterpart of Rindler space - so-called (linearized) κ - Rindler space and twistdeformed Rindler spacetime, respectively. First of them is associated with the wellknown κ - deformed Minkowski space [9], [10]2, while the second one with twisted canonical, Lie-algebraic and quadratic quantum Minkowsk ...
... counterpart of Rindler space - so-called (linearized) κ - Rindler space and twistdeformed Rindler spacetime, respectively. First of them is associated with the wellknown κ - deformed Minkowski space [9], [10]2, while the second one with twisted canonical, Lie-algebraic and quadratic quantum Minkowsk ...
Quantum correlations and measurements
... If nonlinear equations are involved, then the mathematical toolbox of linear methods is, in parts, no longer applicable. However, a lot of physical systems are characterized by nonlinear equations. Prominent example are the Navier–Stokes equations for the dynamic of fluids, Einstein’s field equation ...
... If nonlinear equations are involved, then the mathematical toolbox of linear methods is, in parts, no longer applicable. However, a lot of physical systems are characterized by nonlinear equations. Prominent example are the Navier–Stokes equations for the dynamic of fluids, Einstein’s field equation ...
Classical-quantum correspondence and the
... of the molecular Hamiltonian; here, semiclassical methods, especially semiclassical po theory, provide an essential bridge between the classical and quantum aspects of the problem [15]. Ideally, a method should be capable of processing data on quantum energies {Ej } and line intensities to derive in ...
... of the molecular Hamiltonian; here, semiclassical methods, especially semiclassical po theory, provide an essential bridge between the classical and quantum aspects of the problem [15]. Ideally, a method should be capable of processing data on quantum energies {Ej } and line intensities to derive in ...
Entanglement and Tensor Network States - cond
... Such an area law has been proven to be valid for a number of cases: • For any gapped one-dimensional system with a unique ground state [12]. The proof again relies on Lieb-Robinson bounds mentioned before, albeit used in a much more sophisticated way than in order to show the clustering of correlati ...
... Such an area law has been proven to be valid for a number of cases: • For any gapped one-dimensional system with a unique ground state [12]. The proof again relies on Lieb-Robinson bounds mentioned before, albeit used in a much more sophisticated way than in order to show the clustering of correlati ...
Spin-orbit coupling effects, interactions and superconducting
... coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the correlation functions that allow us to compute basically all observables of interest. W ...
... coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the correlation functions that allow us to compute basically all observables of interest. W ...
dagrep_v005_i004_p123_s15181. - DROPS
... variables. In executing the statement measure M[q]; S, quantum measurement M will first be performed on quantum register q, and then a sub-program S will be selected to be executed next according to the outcome of the measurement. The essential difference between a measurement statement and a classi ...
... variables. In executing the statement measure M[q]; S, quantum measurement M will first be performed on quantum register q, and then a sub-program S will be selected to be executed next according to the outcome of the measurement. The essential difference between a measurement statement and a classi ...
ABSTRACT RANDOM ROUTING AND CONCENTRATION IN QUANTUM SWITCHING NETWORKS
... The basic premise of this idea is to use arrangements of reconfigurable switches with input quantum bits on their own quantum wires and then route them to the required destination. These switches are represented using quantum circuits composed of quantum gates. In addition to reducing wire count, re ...
... The basic premise of this idea is to use arrangements of reconfigurable switches with input quantum bits on their own quantum wires and then route them to the required destination. These switches are represented using quantum circuits composed of quantum gates. In addition to reducing wire count, re ...
Marblestone, Devoret..
... exponential quantum-classical dichotomy in multi-party communication, in which entanglement is partially interchangeable with nonlocal, nonlinear logic. We consider classical and entanglement-assisted versions of a distributed computation scheme that allows a single receiver to compute nonlinear Boo ...
... exponential quantum-classical dichotomy in multi-party communication, in which entanglement is partially interchangeable with nonlocal, nonlinear logic. We consider classical and entanglement-assisted versions of a distributed computation scheme that allows a single receiver to compute nonlinear Boo ...
Von Neumann`s Impossibility Proof: Mathematics in - Philsci
... Though both theories ultimately yield the same physical predictions, they start from very different principles and are also mathematically disparate. In particular, in matrix mechanics one has to operate with discrete quantities (components of matrices) whereas wave mechanics has the form of a conti ...
... Though both theories ultimately yield the same physical predictions, they start from very different principles and are also mathematically disparate. In particular, in matrix mechanics one has to operate with discrete quantities (components of matrices) whereas wave mechanics has the form of a conti ...
The AdS/CFT Correspondence arXiv:1501.00007
... Indeed, as we will see, the manner in which AdS/CFT related all these subjects to gravity could scarcely have been more spectacular: it turns out that it’s not the weak curvature of our spacetime which comes into play when studying everyday systems, but the most gravitational object there is: the bl ...
... Indeed, as we will see, the manner in which AdS/CFT related all these subjects to gravity could scarcely have been more spectacular: it turns out that it’s not the weak curvature of our spacetime which comes into play when studying everyday systems, but the most gravitational object there is: the bl ...