Quantum Computing
... eluded researchers. Many security protocols base their security entirely on the computational difficulty of this problem. Shor’s factoring algorithm and related results mean that once a large enough quantum computer is built, all standard public key encryption algorithms will be completely insecure. ...
... eluded researchers. Many security protocols base their security entirely on the computational difficulty of this problem. Shor’s factoring algorithm and related results mean that once a large enough quantum computer is built, all standard public key encryption algorithms will be completely insecure. ...
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... The purpose of physics is to study entities of the natural world, existing independently from any particular observer's perception, and obeying universal and intelligible rules. Many physicists (inc. me) look at certain and reproducible events as real, so we like : If, without in any way disturbing ...
... The purpose of physics is to study entities of the natural world, existing independently from any particular observer's perception, and obeying universal and intelligible rules. Many physicists (inc. me) look at certain and reproducible events as real, so we like : If, without in any way disturbing ...
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... The typical classical single-bit error is the bit-flip: 0 ↔ 1. If we assume a simple error model (the binary symmetric channel) in which bit flips errors occur on each bit independently with probablility p per unit time, we expect a bit to be corrupted after O(1/p) steps. (In general, we assume p ≪ ...
... The typical classical single-bit error is the bit-flip: 0 ↔ 1. If we assume a simple error model (the binary symmetric channel) in which bit flips errors occur on each bit independently with probablility p per unit time, we expect a bit to be corrupted after O(1/p) steps. (In general, we assume p ≪ ...
Polarized Light and Quantum Mechanics: An Optical
... These are both versions of eq 5. The real question now is what are the probability amplitudes in eqs 6 and 7? Before answering the question there is a subtle but important point to make. When one changes base states one has to keep track of possible “phase changes.” This is because all probability a ...
... These are both versions of eq 5. The real question now is what are the probability amplitudes in eqs 6 and 7? Before answering the question there is a subtle but important point to make. When one changes base states one has to keep track of possible “phase changes.” This is because all probability a ...
A new theory of the origin of cancer
... determine cell shape, orientation and form. And centrioles have the information storage and processing capacity to record the “blueprints” for a vast number of phenotypes, all possible states of differentiation in a specific organism. The key question in differentiation is how signals/communication ...
... determine cell shape, orientation and form. And centrioles have the information storage and processing capacity to record the “blueprints” for a vast number of phenotypes, all possible states of differentiation in a specific organism. The key question in differentiation is how signals/communication ...
AntalyaQuantumComputingTutorial
... 1923 - Louis de Broglie relates the momentum of a particle with the wavelength 1925 - Werner Heisenberg formulates the matrix quantum ...
... 1923 - Louis de Broglie relates the momentum of a particle with the wavelength 1925 - Werner Heisenberg formulates the matrix quantum ...
Simulating the transverse Ising model on a quantum computer: Error... with the surface code ), Hao You (
... currently considered to be one of the most practical faulttolerant quantum computing schemes because the operation time and the resource overhead are within reasonable limits [38]. Here we investigate the quantum simulation of the TIM ground-state energy on a surface code quantum computer. We have c ...
... currently considered to be one of the most practical faulttolerant quantum computing schemes because the operation time and the resource overhead are within reasonable limits [38]. Here we investigate the quantum simulation of the TIM ground-state energy on a surface code quantum computer. We have c ...
Electronic Structure of Multi-Electron Quantum Dots
... formalism, even with state-of-the-art computing facilities. We have recently developed a spin-adapted configuration interaction (SACI) method to study the electronic structure of multi-electron quantum dots [13]. This method is based on earlier work by quantum chemist R. Pauncz [14], which expands t ...
... formalism, even with state-of-the-art computing facilities. We have recently developed a spin-adapted configuration interaction (SACI) method to study the electronic structure of multi-electron quantum dots [13]. This method is based on earlier work by quantum chemist R. Pauncz [14], which expands t ...
Construction X for quantum error-correcting codes
... A quantum error-correcting code (QECC) is a code that protects quantum information from corruption by noise (decoherence) on the quantum channel in a way that is similar to how classical error-correcting codes protect information on the classical channel. We denote by [[n, k, d]] the parameters of a ...
... A quantum error-correcting code (QECC) is a code that protects quantum information from corruption by noise (decoherence) on the quantum channel in a way that is similar to how classical error-correcting codes protect information on the classical channel. We denote by [[n, k, d]] the parameters of a ...
On the Study of Quantum Properties of Space-Time with
... the level 10 37 Hz 1 , well within the reach of the sensitivity of modern interferometers (actually, as observed in Refs. [6, 9, 11, 38] and illustrated in Figure 1, the sensitivity achieved by interferometers and resonant bars already in operation [39, 40] rules out the presence of excess noise dow ...
... the level 10 37 Hz 1 , well within the reach of the sensitivity of modern interferometers (actually, as observed in Refs. [6, 9, 11, 38] and illustrated in Figure 1, the sensitivity achieved by interferometers and resonant bars already in operation [39, 40] rules out the presence of excess noise dow ...
Gibbs' paradox and black-hole entropy
... knowledge only about the pressure and the temperature, but with no information about the exact value of N ), one finds the exact result ∆S = 0 upon removing the partition. It is important to emphasize in this connection the important difference between identity and indistinguishability [9]. In class ...
... knowledge only about the pressure and the temperature, but with no information about the exact value of N ), one finds the exact result ∆S = 0 upon removing the partition. It is important to emphasize in this connection the important difference between identity and indistinguishability [9]. In class ...
Chapter 1
... superposed states can be represented as points on a ball (sphere) called Bloch Sphere. The basis states |0 and |1 are just two points on the Bloch Sphere. Superposition is of the form |0 + |1 where and are complex numbers called quantum amplitudes. These values and are so constrained ...
... superposed states can be represented as points on a ball (sphere) called Bloch Sphere. The basis states |0 and |1 are just two points on the Bloch Sphere. Superposition is of the form |0 + |1 where and are complex numbers called quantum amplitudes. These values and are so constrained ...
Geometry of the Set of Mixed Quantum States: An Apophatic Approach
... The space of states, classical or quantum, is always a convex set. By definition a convex set is a subset of Euclidean space, such that given any two points in the subset the line segment between the two points also belongs to that subset. The points in the interior of the line segment are said to be ...
... The space of states, classical or quantum, is always a convex set. By definition a convex set is a subset of Euclidean space, such that given any two points in the subset the line segment between the two points also belongs to that subset. The points in the interior of the line segment are said to be ...
Recent progresses on diagrammatic determinant QMC
... These are the usual assumptions made in theories of liquids. Subject to the above assumptions, the method is not restricted to any range of temperature or density. This paper will also present results of a preliminary twodimensional calculation for the rigid-sphere system. Work on the two-dimensiona ...
... These are the usual assumptions made in theories of liquids. Subject to the above assumptions, the method is not restricted to any range of temperature or density. This paper will also present results of a preliminary twodimensional calculation for the rigid-sphere system. Work on the two-dimensiona ...
DEUTSCH`S ALGORITHM - METU Computer Engineering
... • S6.1 : Deutsch’s algorithm that determines a property of functions from {0, 1} to {0, 1}. • S6.2 : Generalize above algorithm to the Deutsch–Jozsa algorithm, which deals with a similar property for functions from {0, 1} to {0, 1}. • S6.3 : Simon’s periodicity algorithm: determine patterns of a fun ...
... • S6.1 : Deutsch’s algorithm that determines a property of functions from {0, 1} to {0, 1}. • S6.2 : Generalize above algorithm to the Deutsch–Jozsa algorithm, which deals with a similar property for functions from {0, 1} to {0, 1}. • S6.3 : Simon’s periodicity algorithm: determine patterns of a fun ...
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.