Adiabatic Quantum State Generation and Statistical Zero Knowledge
... can be reduced to quantum sampling. Most problems that were considered good candidates for BQP, such as discrete log (DLOG), quadratic residuosity, approximating closest and shortest vectors in a lattice, graph isomorphism and more, belong to the complexity class statistical zero knowledge, or SZK ( ...
... can be reduced to quantum sampling. Most problems that were considered good candidates for BQP, such as discrete log (DLOG), quadratic residuosity, approximating closest and shortest vectors in a lattice, graph isomorphism and more, belong to the complexity class statistical zero knowledge, or SZK ( ...
Lecture 4: Some Properties of Qubits Introduction A Brief Recap
... • But we don’t have to measure both qubits at once! • Let’s say we measure only the first qubit, and get result 1 ...
... • But we don’t have to measure both qubits at once! • Let’s say we measure only the first qubit, and get result 1 ...
Lecture 29 - USU physics
... Notice that even though we started with the general, time-dependent, free-particle wave function ψ (x, t ) in Eq. (27), the expectation value of any (integer) power of the momentum is independent of time. Perhaps this should not be too surprising. For a classical free particle there is no change in ...
... Notice that even though we started with the general, time-dependent, free-particle wave function ψ (x, t ) in Eq. (27), the expectation value of any (integer) power of the momentum is independent of time. Perhaps this should not be too surprising. For a classical free particle there is no change in ...
Luttinger Liquids
... To actually calculate the Fourier transform of this expression to extract the momentum distribution N(p) discussed in the context of Fermi liquids, is a bit complicated. The result is however, as expected, that the discontinuity totally disappears, which shows that there are no stable gapless charge ...
... To actually calculate the Fourier transform of this expression to extract the momentum distribution N(p) discussed in the context of Fermi liquids, is a bit complicated. The result is however, as expected, that the discontinuity totally disappears, which shows that there are no stable gapless charge ...
- D-Wave Systems
... Introduction Quantum annealing (QA) systems such as those developed by D-Wave Systems will provide one path beyond the anticipated end of Moore’s Law performance improvements for classical computers. However, the programming model implemented by QA is very different from that of the classical von Ne ...
... Introduction Quantum annealing (QA) systems such as those developed by D-Wave Systems will provide one path beyond the anticipated end of Moore’s Law performance improvements for classical computers. However, the programming model implemented by QA is very different from that of the classical von Ne ...
Scaling of geometric phase close to multicritical points in cluster
... quadratic dispersions for l > 2, we find a similar log scaling behavior. Conclusions.− We have studied the criticality of generalized cluster-Ising models through the scaling properties of the geometric phase. The criticality with parameterdependent critical momentum is generically found of the XX t ...
... quadratic dispersions for l > 2, we find a similar log scaling behavior. Conclusions.− We have studied the criticality of generalized cluster-Ising models through the scaling properties of the geometric phase. The criticality with parameterdependent critical momentum is generically found of the XX t ...
Simulating physics with computers
... in that particular order. But just let's us think of a more general k i n d of computer, because we might have a more general function. So let's tlaink about whether we could have a wider case of generality of interconnections of points in space-time. If F depends on a//the points both in the future ...
... in that particular order. But just let's us think of a more general k i n d of computer, because we might have a more general function. So let's tlaink about whether we could have a wider case of generality of interconnections of points in space-time. If F depends on a//the points both in the future ...
An asymptotic preserving scheme for the Schrödinger equation in
... from [6,7,1]. The initial density is given by n0 = e−50(x−0.5) and the initial current is given by q 0 = 0.2(2x − 1)n0 . Figure 1 shows the results for the scheme in eulerian coordinates (2)–(4). We plot the density, current and bohm potential at t = 0.54 for different ε. As ε tends to zero, the den ...
... from [6,7,1]. The initial density is given by n0 = e−50(x−0.5) and the initial current is given by q 0 = 0.2(2x − 1)n0 . Figure 1 shows the results for the scheme in eulerian coordinates (2)–(4). We plot the density, current and bohm potential at t = 0.54 for different ε. As ε tends to zero, the den ...
Probabilities and the Many Minds Interpretation of
... the frequency theory needs to cover them as well infinitely repreated trials. The standard ploy here is to invoke the hypothetical infinite sequence of results which would occur if the type of trial were infinitely repeated. But it seems doubtful that this possibile is sufficently well-defined to be ...
... the frequency theory needs to cover them as well infinitely repreated trials. The standard ploy here is to invoke the hypothetical infinite sequence of results which would occur if the type of trial were infinitely repeated. But it seems doubtful that this possibile is sufficently well-defined to be ...
Commutation relations for functions of operators
... for functions of an arbitrary number of operators, with the restriction that all these operators have known commutation relations amongst themselves and that their commutators do not involve further operators 共q-numbers兲 but only constants 共c-numbers兲. To be specific, our formula does apply to funct ...
... for functions of an arbitrary number of operators, with the restriction that all these operators have known commutation relations amongst themselves and that their commutators do not involve further operators 共q-numbers兲 but only constants 共c-numbers兲. To be specific, our formula does apply to funct ...
Quantum Channels - Institut Camille Jordan
... In this context, the most general possible transform for the state of a quantum system H is obtained as follows: – the quantum system H, in the initial state ρ, is coupled to another quantum system K in the state ω, – we let them evolve together for a fixed time duration under the unitary evolution ...
... In this context, the most general possible transform for the state of a quantum system H is obtained as follows: – the quantum system H, in the initial state ρ, is coupled to another quantum system K in the state ω, – we let them evolve together for a fixed time duration under the unitary evolution ...
The Quantum IO Monad - School of Computer Science
... data structures to be defined in Haskell, whereby a finite part of the data structure can be used as and when required. For example, you could define an infinite list of all the prime numbers, and then define a function that requires the first 10 elements of this list. The definition of a pure funct ...
... data structures to be defined in Haskell, whereby a finite part of the data structure can be used as and when required. For example, you could define an infinite list of all the prime numbers, and then define a function that requires the first 10 elements of this list. The definition of a pure funct ...
Topological Phases of matter - Harvard Condensed Matter Theory
... in the absence of magnetic field. In the following, we explain TKNN formula. The aim here is to give a flavor of how some ”topological invariant” can be defined for a given ground state. We will give a simpler example where Chern number can be understood in an intuitive fashion. A short introduction ...
... in the absence of magnetic field. In the following, we explain TKNN formula. The aim here is to give a flavor of how some ”topological invariant” can be defined for a given ground state. We will give a simpler example where Chern number can be understood in an intuitive fashion. A short introduction ...
douglas c. giancoli
... measurement, no matter how good the measuring device. We expect that by using more precise instruments, the uncertainty in a measurement can be made indefinitely small. But according to quantum mechanics, there is actually a limit to the precision of certain measurements. This limit is not a restric ...
... measurement, no matter how good the measuring device. We expect that by using more precise instruments, the uncertainty in a measurement can be made indefinitely small. But according to quantum mechanics, there is actually a limit to the precision of certain measurements. This limit is not a restric ...
Optimal Large-Scale Quantum State Tomography with Pauli
... considering quantum measurements characterized by the Pauli matrices, the density matrix can often be characterized by the sparsity with respect to the Pauli basis. Built upon this connection, they suggested a compressed sensing (Donoho (2006)) strategy for quantum state tomography (Gross (2011) and ...
... considering quantum measurements characterized by the Pauli matrices, the density matrix can often be characterized by the sparsity with respect to the Pauli basis. Built upon this connection, they suggested a compressed sensing (Donoho (2006)) strategy for quantum state tomography (Gross (2011) and ...
