Fisher information in quantum statistics
... a measurement M, over all measurements of the state. Thereby they supplied a new proof of Helstrom’s (1967) quantum Cramér-Rao bound: no unbiased estimator of θ, based on any measurement, has variance smaller than I(θ)−1 . Recall that the classical bound states that no unbiased estimator of θ based ...
... a measurement M, over all measurements of the state. Thereby they supplied a new proof of Helstrom’s (1967) quantum Cramér-Rao bound: no unbiased estimator of θ, based on any measurement, has variance smaller than I(θ)−1 . Recall that the classical bound states that no unbiased estimator of θ based ...
URL - StealthSkater
... the risk of publicly making myself look like a fool and try to use my own brain. A. What can one learn from ordinary computer programs One could begin with the question what happens in classical computation. How the program is realized and how it runs. The notion of the Turing machine represents an ...
... the risk of publicly making myself look like a fool and try to use my own brain. A. What can one learn from ordinary computer programs One could begin with the question what happens in classical computation. How the program is realized and how it runs. The notion of the Turing machine represents an ...
quantum states satisfying classical probability constraints
... 1. Introduction. The Bell [1] and the Clauser-Horne-Shimony-Holt (CHSH ) [2] inequalities, derived originally in the frame of the Bell local hidden variable model, describe the relations between the product expectation values under different joint measurements. In the frame of classical probability, ...
... 1. Introduction. The Bell [1] and the Clauser-Horne-Shimony-Holt (CHSH ) [2] inequalities, derived originally in the frame of the Bell local hidden variable model, describe the relations between the product expectation values under different joint measurements. In the frame of classical probability, ...
Three Quantum Algorithms to Solve 3-SAT
... one-to-one labeling, α and β are symbols of the alphabet and ∆e is a (possibly negative) integer number. The rule (ini : α, ∆e, β) is interpreted as follows: if a copy of α is in the region immediately surrounding membrane i, then this object crosses membrane i, is transformed to β, and modifies the ...
... one-to-one labeling, α and β are symbols of the alphabet and ∆e is a (possibly negative) integer number. The rule (ini : α, ∆e, β) is interpreted as follows: if a copy of α is in the region immediately surrounding membrane i, then this object crosses membrane i, is transformed to β, and modifies the ...
Chapter 2. Mind and the Quantum
... states. The proton is not definitely in one state or the other, and quantum theory can only yield the probability that it will be found to be spinning upward on B rather than being able to predict in advance which way the proton will be found to be spinning when measured along axis B. At the point o ...
... states. The proton is not definitely in one state or the other, and quantum theory can only yield the probability that it will be found to be spinning upward on B rather than being able to predict in advance which way the proton will be found to be spinning when measured along axis B. At the point o ...
Charge dynamics and spin blockade in a hybrid double quantum dot
... transient measurement impossible in our case. Instead, we use a procedure developed by Petta et al. [42], where the MW excitation is chopped at some frequency 1=τ with a 50% duty cycle while time averaging the signal at the ICT. We define the charge polarization as P ¼ ðPg − Pe Þ, with Pg and Pe the ...
... transient measurement impossible in our case. Instead, we use a procedure developed by Petta et al. [42], where the MW excitation is chopped at some frequency 1=τ with a 50% duty cycle while time averaging the signal at the ICT. We define the charge polarization as P ¼ ðPg − Pe Þ, with Pg and Pe the ...
APS March Meeting 2015
... of phase separation through numerical simulations of the Cahn-Hilliard-Cook (CHC) equation. This model is an extension of the well-known Cahn- Hilliard equation, perturbed by an additive white noise. Studies have shown that random fluctuations are critical for proper resolution of physical phenomena ...
... of phase separation through numerical simulations of the Cahn-Hilliard-Cook (CHC) equation. This model is an extension of the well-known Cahn- Hilliard equation, perturbed by an additive white noise. Studies have shown that random fluctuations are critical for proper resolution of physical phenomena ...
ADIABATIC QUANTUM COMPUTATION
... NPC problem can be adapted 13 to solve any other problem in NP. If P6=NP, then it follows that no NP-complete problem can be efficiently solved on classical computer. It is not known wheter quantum computers can be used to quickly solve all the problems in NP (although they can be used to solve some ...
... NPC problem can be adapted 13 to solve any other problem in NP. If P6=NP, then it follows that no NP-complete problem can be efficiently solved on classical computer. It is not known wheter quantum computers can be used to quickly solve all the problems in NP (although they can be used to solve some ...
Power of one qumode for quantum computation Please share
... an interesting computational model known as deterministic quantum computing with one quantum bit (DQC1). Using the power of one qumode, we identify that the amount of squeezing is sufficient to quantify the resource requirements of different computational problems based on phase estimation. In parti ...
... an interesting computational model known as deterministic quantum computing with one quantum bit (DQC1). Using the power of one qumode, we identify that the amount of squeezing is sufficient to quantify the resource requirements of different computational problems based on phase estimation. In parti ...
people.ysu.edu
... 'Collapse of the State Vector' But back to that atomisim...if we make a measurement on an (arbitrary) state vector and find a value for example, we expect each immediate re-measurement of that same observable to again give But this means that the subsequent probability of measuring the observable a ...
... 'Collapse of the State Vector' But back to that atomisim...if we make a measurement on an (arbitrary) state vector and find a value for example, we expect each immediate re-measurement of that same observable to again give But this means that the subsequent probability of measuring the observable a ...
Lecture I
... beams of light have properties that are described just as position and momentum observables. We begin by describing these properties and then we will study them in a specific system, the optical parametric oscillator (OPO). Borrowing a line from an anonymous reviewer, these systems are of “great int ...
... beams of light have properties that are described just as position and momentum observables. We begin by describing these properties and then we will study them in a specific system, the optical parametric oscillator (OPO). Borrowing a line from an anonymous reviewer, these systems are of “great int ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.