Compatibility in Multiparameter Quantum Metrology
... in the single parameter case, the bound is saturable in the limit of an infinite number of repetitions of an experiment using the maximum likelihood estimator [25]. The first substantial difference of multiparameter metrology from the single parameter case can already be discussed at the classical leve ...
... in the single parameter case, the bound is saturable in the limit of an infinite number of repetitions of an experiment using the maximum likelihood estimator [25]. The first substantial difference of multiparameter metrology from the single parameter case can already be discussed at the classical leve ...
Loop Quantum Gravity in a Nutshell
... • However, iteration results in “run-away” solutions (related to nonrenormalizabality). ...
... • However, iteration results in “run-away” solutions (related to nonrenormalizabality). ...
Quantum groups and integrable lattice models UMN Math Physics Seminar
... This operator (”R-matrix “) captures contributions of a single vertex to the partition function. Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . ...
... This operator (”R-matrix “) captures contributions of a single vertex to the partition function. Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . ...
Julian Schwinger (1918-1994)
... Julian wrote at Columbia were on both theoretical and experimental physics, and Rabi prized Julian’s ability to obtain the numbers to compare with experiment. The formal awarding of the Ph.D. had to wait till 1939 to satisfy a University regulation. In the meantime, Schwinger was busy writing papers ...
... Julian wrote at Columbia were on both theoretical and experimental physics, and Rabi prized Julian’s ability to obtain the numbers to compare with experiment. The formal awarding of the Ph.D. had to wait till 1939 to satisfy a University regulation. In the meantime, Schwinger was busy writing papers ...
Two Provers in Isolation
... The notion of Multi-Prover Interactive Proofs was introduced by BenOr, Goldwasser, Kilian and Wigderson [BGKW88]. In the Two-Prover scenario, we have two provers, Peggy and Patty, that are allowed to share arbitrary information before the proof, but they become physically separated from each other d ...
... The notion of Multi-Prover Interactive Proofs was introduced by BenOr, Goldwasser, Kilian and Wigderson [BGKW88]. In the Two-Prover scenario, we have two provers, Peggy and Patty, that are allowed to share arbitrary information before the proof, but they become physically separated from each other d ...
Lecture 7: Helmholtz Wave Equations and Plane Waves
... Wave Equation The equation in (7.4.3) is a general homogeneous 3D vector wave equation. It is valid for cases where there are no external sources. We also note that the equation itself does not depend on the coordinate system. Solution of (7.4.3) in general case may be quite complicated… Therefore, ...
... Wave Equation The equation in (7.4.3) is a general homogeneous 3D vector wave equation. It is valid for cases where there are no external sources. We also note that the equation itself does not depend on the coordinate system. Solution of (7.4.3) in general case may be quite complicated… Therefore, ...
Fast Equivalence-checking for Quantum Circuits
... output and, when the control carries |1 >, inverts the target. Two repeated CNOTs cancel out, but three non-canceling CNOTs, that alternate controls and targets, swap quantum states and are referred to as a SWAP gate. T OFFOLI GATE has three inputs and outputs. It is similar to the CNOT gate, but in ...
... output and, when the control carries |1 >, inverts the target. Two repeated CNOTs cancel out, but three non-canceling CNOTs, that alternate controls and targets, swap quantum states and are referred to as a SWAP gate. T OFFOLI GATE has three inputs and outputs. It is similar to the CNOT gate, but in ...
Minimal normal measurement models of quantum instruments
... As a tool to approach the problem of finding out the minimal normal measurement models, we use Stinespring dilations, that are isometric expansions of the given devices into their purifications. This approach allows us to re-phrase the above problem into a question ‘when does an operator U : HA ⊗ HB ...
... As a tool to approach the problem of finding out the minimal normal measurement models, we use Stinespring dilations, that are isometric expansions of the given devices into their purifications. This approach allows us to re-phrase the above problem into a question ‘when does an operator U : HA ⊗ HB ...
Fifth Quantum Thermodynamics Conference (QTD5)
... output states happen to be Gibbs states, then the coherent relative entropy coincides with the difference of the relative entropies of the input and the output state to the Gibbs state. This latter property allows us to recover macroscopic thermodynamics as emergent from our microscopic model. Our f ...
... output states happen to be Gibbs states, then the coherent relative entropy coincides with the difference of the relative entropies of the input and the output state to the Gibbs state. This latter property allows us to recover macroscopic thermodynamics as emergent from our microscopic model. Our f ...
Ph.D. Thesis Giuseppe Prettico
... Quantum Information Theory (QIT) can be understood as the effort to generalise Classical Information Theory to the quantum world. The fact that very-small scale Physics differs considerably from that of macroscopic objects implies a richer structure of the new theory. Although its formulation lacks ...
... Quantum Information Theory (QIT) can be understood as the effort to generalise Classical Information Theory to the quantum world. The fact that very-small scale Physics differs considerably from that of macroscopic objects implies a richer structure of the new theory. Although its formulation lacks ...
3. Traditional Models of Computation - UF CISE
... Desiderata for models of computing. What do we want our models of computing to be like? Well, here are some properties that we might desire a computer model to have: Ease of programming. The programming model (when specified) should be intuitive and easy for programmers to understand and work with ...
... Desiderata for models of computing. What do we want our models of computing to be like? Well, here are some properties that we might desire a computer model to have: Ease of programming. The programming model (when specified) should be intuitive and easy for programmers to understand and work with ...
Transmission Lines - Text of NPTEL IIT Video Lectures
... going to exist from the surface of the good conductor. Beyond this depth again as I mentioned, the properties of the material do not really matter. So if you have a half frequency system a component since the energy is going to lie or the fields are going to lie only within a distance of few tens of ...
... going to exist from the surface of the good conductor. Beyond this depth again as I mentioned, the properties of the material do not really matter. So if you have a half frequency system a component since the energy is going to lie or the fields are going to lie only within a distance of few tens of ...
Quantum Information Processing
... orthodox interpretation of I~)). It is also often called the Copenhagen interpretation because its foremost advocate was Neils Bohr. In a nutshell, Bohr's view was that since quantum systems only express themselves through the results recorded by measurement apparatus-there is SPILLER: QUANTUM INFOR ...
... orthodox interpretation of I~)). It is also often called the Copenhagen interpretation because its foremost advocate was Neils Bohr. In a nutshell, Bohr's view was that since quantum systems only express themselves through the results recorded by measurement apparatus-there is SPILLER: QUANTUM INFOR ...
Quantum Algorithms for Estimating Gauss Sums and Calculating
... made arbitrarily accurate. Sometimes we use the hat notation in F : |ψi 7→ |ψ̂i to denote the Fourier transform of a state. Fact 2 (Quantum phase estimation). Let γ be an unknown phase mod2π of the qubit state |xγ i := √12 (|0i + eiγ |1i). If we measure this qubit in the ...
... made arbitrarily accurate. Sometimes we use the hat notation in F : |ψi 7→ |ψ̂i to denote the Fourier transform of a state. Fact 2 (Quantum phase estimation). Let γ be an unknown phase mod2π of the qubit state |xγ i := √12 (|0i + eiγ |1i). If we measure this qubit in the ...
Can gas hydrate structures be described using - e-Spacio
... the same model, one could compare classical simulations for a good classical model with quantum simulations for a good quantum model. A good classical model is one in which the parameters were fitted to experimental properties within classical simulations, so that, in some implicit way, quantum cont ...
... the same model, one could compare classical simulations for a good classical model with quantum simulations for a good quantum model. A good classical model is one in which the parameters were fitted to experimental properties within classical simulations, so that, in some implicit way, quantum cont ...
Dealing with ignorance: universal discrimination, learning and quantum correlations Gael Sentís Herrera
... further, this is the technique that the statisticians used to come up with the number 246. It is, though, a particular way of handling available information and uncertainty, and certainly not the only possible approach. There is an alternative solution to this problem that, involving different assum ...
... further, this is the technique that the statisticians used to come up with the number 246. It is, though, a particular way of handling available information and uncertainty, and certainly not the only possible approach. There is an alternative solution to this problem that, involving different assum ...
Optimal Large-Scale Quantum State Tomography with Pauli
... fully account for the specific structure of quantum state tomography. As demonstrated in a pioneering article, Gross et al. (2010) argued that, when considering quantum measurements characterized by the Pauli matrices, the density matrix can often be characterized by the sparsity with respect to the ...
... fully account for the specific structure of quantum state tomography. As demonstrated in a pioneering article, Gross et al. (2010) argued that, when considering quantum measurements characterized by the Pauli matrices, the density matrix can often be characterized by the sparsity with respect to the ...
Quantum States of Neutrons in the Gravitational Field
... What is gravity? In many respects this may be one of the most important questions ever asked. Answers to it have always been milestones on the way from ancient natural philosophy to modern science. Every physicist knows the legendary free fall experiments of Galileo Galilei at the dawn of empiricism ...
... What is gravity? In many respects this may be one of the most important questions ever asked. Answers to it have always been milestones on the way from ancient natural philosophy to modern science. Every physicist knows the legendary free fall experiments of Galileo Galilei at the dawn of empiricism ...
Introduction to Quantum Information Science
... the structure of an atom, the characteristic black body spectrum at low temperatures, and the photoelectric eect were the most prominent. In all respects classical physics could not explain these phenomenon, and Max Plank, in a stroke of pure genius, or perhaps desperate luck, started a physics rev ...
... the structure of an atom, the characteristic black body spectrum at low temperatures, and the photoelectric eect were the most prominent. In all respects classical physics could not explain these phenomenon, and Max Plank, in a stroke of pure genius, or perhaps desperate luck, started a physics rev ...