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 ...
Bohdalova-Copula
... Consider a portfolio of n risks: X1,…,Xn . Suppose, that we want to examine the distribution of some function f(X1,…,Xn) representing the risk of the future value of a contract written on the portfolio. ...
... Consider a portfolio of n risks: X1,…,Xn . Suppose, that we want to examine the distribution of some function f(X1,…,Xn) representing the risk of the future value of a contract written on the portfolio. ...
Quantum one-time programs
... secure hardware or quantum mechanics: computational assumptions alone do not suffice. Classically, it has been shown [1,2,3] how to construct a one-time program for any function f using a hypothetical hardware device called a one-time memory (OTM). An OTM is non-interactive idealization of oblivious ...
... secure hardware or quantum mechanics: computational assumptions alone do not suffice. Classically, it has been shown [1,2,3] how to construct a one-time program for any function f using a hypothetical hardware device called a one-time memory (OTM). An OTM is non-interactive idealization of oblivious ...
Reflections on Friction in Quantum Mechanics
... in some external semi-classical field in the system’s Hamiltonian. For the paradigmatic case of a gas in a piston the field will be related to the location of the potential barrier confining the gas particles. If the change to the external field is slow enough, the quantum adiabatic theorem assures ...
... in some external semi-classical field in the system’s Hamiltonian. For the paradigmatic case of a gas in a piston the field will be related to the location of the potential barrier confining the gas particles. If the change to the external field is slow enough, the quantum adiabatic theorem assures ...
Quantum Transport in Nanoscale Devices
... and technologists, yet this time the limits seem more real and are already forcing new strategies on the design of future devices. Critical dimensions, such as transistor gate length and oxide thickness, are reaching physical limitations. Maintaining dimensional integrity at the limits of scaling is ...
... and technologists, yet this time the limits seem more real and are already forcing new strategies on the design of future devices. Critical dimensions, such as transistor gate length and oxide thickness, are reaching physical limitations. Maintaining dimensional integrity at the limits of scaling is ...
15. The Simplest Integrals
... the simplest integrals in the form of a table. When one of these integrals is needed for a calculation, we can simply look it up in the table. Appendix F provides a short table of indefinite integrals (i.e., antiderivatives). Please verify that the entries in the table follow simply from the basic d ...
... the simplest integrals in the form of a table. When one of these integrals is needed for a calculation, we can simply look it up in the table. Appendix F provides a short table of indefinite integrals (i.e., antiderivatives). Please verify that the entries in the table follow simply from the basic d ...
J. Opt. A: Pure Appl. Opt.11
... to monochromatic waves in free space. For scalar waves, a natural definition of the direction of the current in free space is the intensity-weighted wavevector (local expectation value of the linear momentum) normal to the wavefronts (section 2.1). The current gives the timeaveraged force on a small ...
... to monochromatic waves in free space. For scalar waves, a natural definition of the direction of the current in free space is the intensity-weighted wavevector (local expectation value of the linear momentum) normal to the wavefronts (section 2.1). The current gives the timeaveraged force on a small ...
Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic... Congjun Wu, Jiangping Hu, and Shou-Cheng Zhang
... spin SU (2) symmetry is broken into the U (1) symmetry around the z-axis. A remarkable property is that both quasi-particles and spin wave excitations reverse the sign of their spin quantum numbers sz when going through the HQV loop. Meanwhile the HQV loop also changes sz to maintain spin conservati ...
... spin SU (2) symmetry is broken into the U (1) symmetry around the z-axis. A remarkable property is that both quasi-particles and spin wave excitations reverse the sign of their spin quantum numbers sz when going through the HQV loop. Meanwhile the HQV loop also changes sz to maintain spin conservati ...
Quantum Magic - UMD WordPress blog
... fore the start of the game. From the perspective of players limited to classical or local resources, the ability to win such games seems inexplicable without telepathic communication between the players—hence the name. Of course, no cheating or telepathy is involved, only quantum magic. The simulati ...
... fore the start of the game. From the perspective of players limited to classical or local resources, the ability to win such games seems inexplicable without telepathic communication between the players—hence the name. Of course, no cheating or telepathy is involved, only quantum magic. The simulati ...
Statistical Physics
... other experimental parameters are fixed, like the temperature in stead of the energy. This can be achieved by putting the system in contact with a big reservoir at constant temperature T0 . If it is big enough the system can absorb energy from it without changing its temperature. Then, the total ent ...
... other experimental parameters are fixed, like the temperature in stead of the energy. This can be achieved by putting the system in contact with a big reservoir at constant temperature T0 . If it is big enough the system can absorb energy from it without changing its temperature. Then, the total ent ...
From quantum cloning to quantum key distribution with
... has been experimentally implemented recently.7 Interestingly, the physical origin of the cloning noise becomes much more evident in the case of CV than with quantum bits: it is indeed clear from Fig. 1 that the noise affecting the clones can be traced back to (half of) the vacuum fluctuations that u ...
... has been experimentally implemented recently.7 Interestingly, the physical origin of the cloning noise becomes much more evident in the case of CV than with quantum bits: it is indeed clear from Fig. 1 that the noise affecting the clones can be traced back to (half of) the vacuum fluctuations that u ...
QI Package for Mathematica 7.0 (version 0.3.27) - ZKSI
... σx – Pauli matrix σy . This is an alternative notation for sx. σy – Pauli matrix σy . This is an alternative notation for sy. σz – Pauli matrix σz . This is an alternative notation for sz. id – Identity matrix for one qubit. See also: IdentityMatrix. wh – Hadamard gate for one qubit. See also: QFT. ...
... σx – Pauli matrix σy . This is an alternative notation for sx. σy – Pauli matrix σy . This is an alternative notation for sy. σz – Pauli matrix σz . This is an alternative notation for sz. id – Identity matrix for one qubit. See also: IdentityMatrix. wh – Hadamard gate for one qubit. See also: QFT. ...
Carrier capture into a GaAs quantum well with a separate
... phonon model from the appendix. One sees that in the case of electrons the results of the DC phonon model exceed the results of the bulk phonon model roughly by a factor of one to three. This difference deserves a more detailed discussion as it contradicts the expectation (see p 2078 in [6]) accordi ...
... phonon model from the appendix. One sees that in the case of electrons the results of the DC phonon model exceed the results of the bulk phonon model roughly by a factor of one to three. This difference deserves a more detailed discussion as it contradicts the expectation (see p 2078 in [6]) accordi ...
Quantum Money from Hidden Subspaces
... to offload the verification of banknotes to local merchants, while Gavinsky [23] proposed a variant of Wiesner’s scheme that requires only classical communication between the merchant and bank. However, most of the focus today is on a more ambitious goal: namely, creating what Aaronson [3] called pu ...
... to offload the verification of banknotes to local merchants, while Gavinsky [23] proposed a variant of Wiesner’s scheme that requires only classical communication between the merchant and bank. However, most of the focus today is on a more ambitious goal: namely, creating what Aaronson [3] called pu ...
Post-quantum Security of the CBC, CFB, OFB, CTR
... encryption queries, IND-qCPA (as defined by [6]) allows the adversary to perform quantum encryption queries (i.e., queries which are a superposition of different messages, to get a superposition of different ciphertexts). In other words, IND-qCPA additionally guarantees security when the encryption ...
... encryption queries, IND-qCPA (as defined by [6]) allows the adversary to perform quantum encryption queries (i.e., queries which are a superposition of different messages, to get a superposition of different ciphertexts). In other words, IND-qCPA additionally guarantees security when the encryption ...
Quantum spin systems from the perspective of quantum
... 2 possible methods to sum this: -If N!1 and homogeneous, one can calculate the largest eigenvector of a column transfer matrix (TMRG) using DMRG with PERIODIC boundary condition (note that it is not always possible to get hermitean transfer matrices) ...
... 2 possible methods to sum this: -If N!1 and homogeneous, one can calculate the largest eigenvector of a column transfer matrix (TMRG) using DMRG with PERIODIC boundary condition (note that it is not always possible to get hermitean transfer matrices) ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.