APS104H1_20161_661461623642Lecture 2
... The densest area of the cloud is where you have the greatest probability of finding the electron and the least dense area is where you have the lowest probability of finding the electron. ...
... The densest area of the cloud is where you have the greatest probability of finding the electron and the least dense area is where you have the lowest probability of finding the electron. ...
Quantum Error-Correction Codes on Abelian Groups
... shares the results with Alice. If more than t of these disagree, they abort the protocol. z,x (C1 , C2 ). 9: Bob decodes the remaining n qubits from CSSG ...
... shares the results with Alice. If more than t of these disagree, they abort the protocol. z,x (C1 , C2 ). 9: Bob decodes the remaining n qubits from CSSG ...
Chapter 2 Quantum statistical mechanics from classical
... systems at non-zero temperature and quantum systems at zero temperature is think about the role of fluctuations in both case. Both kinds of systems are necessarily described by probabilities. In the classical case, this is because thermal equilibrium is treated by imagining the system as being coupl ...
... systems at non-zero temperature and quantum systems at zero temperature is think about the role of fluctuations in both case. Both kinds of systems are necessarily described by probabilities. In the classical case, this is because thermal equilibrium is treated by imagining the system as being coupl ...
data encryption device using radioactive decay and - UW
... number of quantum random numbers required for the encryption remains relatively small when using the algorithm. A low amount is advantageous since the use of a weaker source of radiation is acceptable. A highly radioactive source would be required for producing larger amounts of numbers. However, th ...
... number of quantum random numbers required for the encryption remains relatively small when using the algorithm. A low amount is advantageous since the use of a weaker source of radiation is acceptable. A highly radioactive source would be required for producing larger amounts of numbers. However, th ...
CCR 19: Spectroscopic Notation
... sharp, and so on has now passed from common use, replaced by the quantitative understanding of atomic structure provided by quantum mechanics. However, the notational shorthand used by the early spectroscopists was adapted and modified to describe succinctly all atomic states, not just those of the ...
... sharp, and so on has now passed from common use, replaced by the quantitative understanding of atomic structure provided by quantum mechanics. However, the notational shorthand used by the early spectroscopists was adapted and modified to describe succinctly all atomic states, not just those of the ...
Implementation of a quantum algorithm on a nuclear magnetic
... where B5 $ 0,1% is the set of possible values for a single bit. Such functions take a single bit as input, and return a single bit as their result. Clearly there are exactly four such functions, which may be described by their truth tables, as shown in Table II. These four functions can be divided i ...
... where B5 $ 0,1% is the set of possible values for a single bit. Such functions take a single bit as input, and return a single bit as their result. Clearly there are exactly four such functions, which may be described by their truth tables, as shown in Table II. These four functions can be divided i ...
pptx
... Randomized algorithms • 1970s: Solovay-Strassen primality test • No deterministic test known (at that time) • Polynomial identity: No deterministic test today Any efficiently physically computable function can be computed by an efficient Turing machine ...
... Randomized algorithms • 1970s: Solovay-Strassen primality test • No deterministic test known (at that time) • Polynomial identity: No deterministic test today Any efficiently physically computable function can be computed by an efficient Turing machine ...
Introduction to Quantum Computation
... with significant probability. In general, any scheme to extract information about the state of a quantum system, will disturb the system in a way that can be detected with some probability. This idea motived Wiesner to invent quantum money around 1970. His work was essentially ignored by the scienti ...
... with significant probability. In general, any scheme to extract information about the state of a quantum system, will disturb the system in a way that can be detected with some probability. This idea motived Wiesner to invent quantum money around 1970. His work was essentially ignored by the scienti ...
March meeting 2006 on non-abelian statistics
... However, there’s a catch: we’re doing quantum mechanics. We must weight configurations by |ψ|2 when computing ground-state correlators! Thus effectively, each loop is weighted by d2 , not d. ...
... However, there’s a catch: we’re doing quantum mechanics. We must weight configurations by |ψ|2 when computing ground-state correlators! Thus effectively, each loop is weighted by d2 , not d. ...
quantum mechanical model
... Pauli Exclusion Principle: Electrons cannot have the same four quantum numbers within the same atom. Shell: A set of electrons with the same principal quantum number (n). Subshell: A set of electrons with the same azimuthal quantum number (l). ...
... Pauli Exclusion Principle: Electrons cannot have the same four quantum numbers within the same atom. Shell: A set of electrons with the same principal quantum number (n). Subshell: A set of electrons with the same azimuthal quantum number (l). ...
Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective
... start from their noise model and use a HubbardStratonovich transformation to arrive at ours. The reverse is also true: Starting from our model, one could integrate out the environment field and arrive at the effective interaction between qubits that AKP considered. Nevertheless, the two Letters deal ...
... start from their noise model and use a HubbardStratonovich transformation to arrive at ours. The reverse is also true: Starting from our model, one could integrate out the environment field and arrive at the effective interaction between qubits that AKP considered. Nevertheless, the two Letters deal ...
Algorithms and Architectures for Quantum Computers
... this can be achieved by combining fault tolerance techniques developed by von Neumann, with methods from atomic physics. Our main approach is to develop highly integrated trapped ion systems, in which states of single atoms and ions are quantum bits, and logic gates are realized using Coulomb intera ...
... this can be achieved by combining fault tolerance techniques developed by von Neumann, with methods from atomic physics. Our main approach is to develop highly integrated trapped ion systems, in which states of single atoms and ions are quantum bits, and logic gates are realized using Coulomb intera ...
Quantum Superposition, Quantum Entanglement, and Quantum
... Image source: Wikepedia and google images ...
... Image source: Wikepedia and google images ...
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.