On Quantum vs. Classical Communication Complexity
... All communication models that we have seen can be “augmented” by allowing Alice and Bob (but not the referee) to use shared randomness, or even shared entanglement. Shared randomness matters only in the SMP regime, as O(log n) shared random bits are always sufficient. We do not have, as of today, an ...
... All communication models that we have seen can be “augmented” by allowing Alice and Bob (but not the referee) to use shared randomness, or even shared entanglement. Shared randomness matters only in the SMP regime, as O(log n) shared random bits are always sufficient. We do not have, as of today, an ...
“Formal” vs. “Empirical” Approaches to Quantum
... into Schrodinger’s equation, one arrives at the result that the phase S(x, t) satisfies the classical Hamilton-Jacobi equation in the limit ~ → 0, and concludes that “not surprisingly, in the ~ → 0 limit, classical mechanics is contained in Schrodinger’s wave mechanics” [16]. It is not clear whether ...
... into Schrodinger’s equation, one arrives at the result that the phase S(x, t) satisfies the classical Hamilton-Jacobi equation in the limit ~ → 0, and concludes that “not surprisingly, in the ~ → 0 limit, classical mechanics is contained in Schrodinger’s wave mechanics” [16]. It is not clear whether ...
PPT
... Corollary: strict positiveness of ER∞ How we construct the An’s : we measure each copy with a local informationally complete POVM M to obtain an empirical estimate n of the state. If ...
... Corollary: strict positiveness of ER∞ How we construct the An’s : we measure each copy with a local informationally complete POVM M to obtain an empirical estimate n of the state. If ...
NIU Physics PhD Candidacy Exam - Spring 2017 Quantum Mechanics
... a) Express x in terms of r and spherical harmonics. b) Evaluate the matrix element hn0 1m|H1 |n00i. Express the radial part of this matrix element in terms of integrals involving Rn0 and Rn0 1 . For the angular part, make use of the fact that Y00 is a constant and the normalization condition of the ...
... a) Express x in terms of r and spherical harmonics. b) Evaluate the matrix element hn0 1m|H1 |n00i. Express the radial part of this matrix element in terms of integrals involving Rn0 and Rn0 1 . For the angular part, make use of the fact that Y00 is a constant and the normalization condition of the ...
Fidelity as a figure of merit in quantum error correction
... recovery operations, is identical to the initial state. Therefore, this figure of merit (FOM) is a measure of “likeness”, and it has the characteristic property that identical states have unit fidelity, while orthogonal states have zero fidelity. We have also presented a code with fidelity as its FO ...
... recovery operations, is identical to the initial state. Therefore, this figure of merit (FOM) is a measure of “likeness”, and it has the characteristic property that identical states have unit fidelity, while orthogonal states have zero fidelity. We have also presented a code with fidelity as its FO ...
Quantum Computing: The Risk to Existing Encryption Methods
... increased, the security of RSA encryption would become questionable.11 Unfortunately, the latter possibility is all too real with the exploration of quantum computing. As is apparent in the name, quantum computing has its roots in quantum mechanics. Unlike previous technological advancements where r ...
... increased, the security of RSA encryption would become questionable.11 Unfortunately, the latter possibility is all too real with the exploration of quantum computing. As is apparent in the name, quantum computing has its roots in quantum mechanics. Unlike previous technological advancements where r ...
Quantum monodromy in the two-centre problem Waalkens
... The fact that they differ from the identity matrix proves the presence of monodromy, i.e. the smooth continuation of actions leads to multivalued functions. 5. Quantum monodromy The quantum mechanical two-centre problem is described by three commuting operators Ĥ , Ĝ and L̂z which are related to t ...
... The fact that they differ from the identity matrix proves the presence of monodromy, i.e. the smooth continuation of actions leads to multivalued functions. 5. Quantum monodromy The quantum mechanical two-centre problem is described by three commuting operators Ĥ , Ĝ and L̂z which are related to t ...
![Research proposal HECATE [Part B2] Section a. State-of-the](http://s1.studyres.com/store/data/007968803_2-f715fb8f615658f4470699bb497c984a-300x300.png)
Research proposal HECATE [Part B2] Section a. State-of-the
... Another completely open question is how to deal with hydrogen-deuterium mixtures? The mixture of bosonic and fermionic behaviour opens the question of how mixtures would behave 19 . With intermolecular coupling suppressed, the free rotor behaviour should survive to higher pressures, perhaps exhibiti ...
... Another completely open question is how to deal with hydrogen-deuterium mixtures? The mixture of bosonic and fermionic behaviour opens the question of how mixtures would behave 19 . With intermolecular coupling suppressed, the free rotor behaviour should survive to higher pressures, perhaps exhibiti ...
Steven Simon
... Two (or more) quasiparticles can exist in more than one state… described by a quantum number, ex 0 or 1 ...
... Two (or more) quasiparticles can exist in more than one state… described by a quantum number, ex 0 or 1 ...
classification of phenomena of parapsychology from the point of
... a map. In a control experiment, with the layers whose boundaries had been specified earlier, the objects were determined correctly in 10 out of 12 cases (Boldyreva & Sotina, 2002). (Note that people who knew the position of the layers were not present during the experiment.) Note that a few research ...
... a map. In a control experiment, with the layers whose boundaries had been specified earlier, the objects were determined correctly in 10 out of 12 cases (Boldyreva & Sotina, 2002). (Note that people who knew the position of the layers were not present during the experiment.) Note that a few research ...
J. Phys. Chem. A 103, 10611-8
... can only be solved in an iterative manner. The converged control field is only locally optimal and depends usually on the input to initiate the iteration procedure. While it is transparent in CCT, the quantum interference among various excitation pathways is often obscure in OCT. Mathematically, OCT ...
... can only be solved in an iterative manner. The converged control field is only locally optimal and depends usually on the input to initiate the iteration procedure. While it is transparent in CCT, the quantum interference among various excitation pathways is often obscure in OCT. Mathematically, OCT ...
Bounds on Quantum Probabilities - D
... different types of interpretation, although the predictions made by quantum theory perfectly agree with the experimental results. The crucial point is the interpretation of the mathematical formalism that is in most cases far away from common sense. A main point of discussion is certainly the inhere ...
... different types of interpretation, although the predictions made by quantum theory perfectly agree with the experimental results. The crucial point is the interpretation of the mathematical formalism that is in most cases far away from common sense. A main point of discussion is certainly the inhere ...
Quantum Public-Key Cryptosystems
... while QPKC employs only a classical channel. The security assumption for a QC scheme is quantum mechanics (believed by most physicists), while that for a QPKC scheme is a computational assumption (e.g., existence of a one-way function) in the QTM model. Although several experimental QC systems have ...
... while QPKC employs only a classical channel. The security assumption for a QC scheme is quantum mechanics (believed by most physicists), while that for a QPKC scheme is a computational assumption (e.g., existence of a one-way function) in the QTM model. Although several experimental QC systems have ...
ppt
... Use Quantum Mechanics to Compute? • Weird but useful properties of quantum mechanics: – Quantization: Only certain values or orbits are good ...
... Use Quantum Mechanics to Compute? • Weird but useful properties of quantum mechanics: – Quantization: Only certain values or orbits are good ...
Square Root of “Not”
... • Main result: in spite of the seeming similarity between the two logics, they are different. • They are different in square root of “not” – crucial for speed-up of quantum computing. • This difference is not unexpected: – fuzzy logic is a human way of reasoning about the real-world phenomena; – mos ...
... • Main result: in spite of the seeming similarity between the two logics, they are different. • They are different in square root of “not” – crucial for speed-up of quantum computing. • This difference is not unexpected: – fuzzy logic is a human way of reasoning about the real-world phenomena; – mos ...
Simple Harmonic Motion
... k is a positive constant If F is the only force acting on a system, the system is called a simple harmonic oscillator and it is said to undergo simple harmonic motion (SHM). SHM is a motion that is neither driven nor damped (i.e. no friction to slow the pendulum down); the motion is periodic as it r ...
... k is a positive constant If F is the only force acting on a system, the system is called a simple harmonic oscillator and it is said to undergo simple harmonic motion (SHM). SHM is a motion that is neither driven nor damped (i.e. no friction to slow the pendulum down); the motion is periodic as it r ...
Validity of Semiclassical Gravity in the Stochastic Gravity Approach
... It turns out that this validity criteria is equivalent to the validity criteria that one might advocate within the large N expansion, that is the theory describing the interaction of the gravitational field with N identical matter fields. In the leading order, namely the limit in which N goes to inf ...
... It turns out that this validity criteria is equivalent to the validity criteria that one might advocate within the large N expansion, that is the theory describing the interaction of the gravitational field with N identical matter fields. In the leading order, namely the limit in which N goes to inf ...