Scanned copy Published in Physical Principles of Neuronal and
... possible state, and this principle sharply distinguishes the classical from the quantum concept of state-description and measurement. By a measurement process in quantum mechanics we also decide what state the system is actually in, but since the state itself before measurement consisted of alternat ...
... possible state, and this principle sharply distinguishes the classical from the quantum concept of state-description and measurement. By a measurement process in quantum mechanics we also decide what state the system is actually in, but since the state itself before measurement consisted of alternat ...
Classical vs. Quantum Correlations
... During this session we will explore the signi cance of quantum information theory compared to classical information theory. The dierences will be visualized with the help of a simple two-player game. ...
... During this session we will explore the signi cance of quantum information theory compared to classical information theory. The dierences will be visualized with the help of a simple two-player game. ...
- 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 ...
On the minimum quantum dimension for a given quantum correlation
... The main idea: the second group of POVMs are used to calculate the value of the CHSH inequality: ◦ If the value is , the shared states must be EPR ◦ Eve cannot be entangled to any qubit of EPR ◦ If the value is smaller than , start it over ...
... The main idea: the second group of POVMs are used to calculate the value of the CHSH inequality: ◦ If the value is , the shared states must be EPR ◦ Eve cannot be entangled to any qubit of EPR ◦ If the value is smaller than , start it over ...
Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation Dorit Aharonov
... Quantum computation has emerged in the last decade as an exciting and promising direction of research due to several breakthrough discoveries. Shor’s quantum algorithm for factorization [1], followed by several other algorithms to solve algebraic and combinatorial problems (see, e.g., [2–5]) have de ...
... Quantum computation has emerged in the last decade as an exciting and promising direction of research due to several breakthrough discoveries. Shor’s quantum algorithm for factorization [1], followed by several other algorithms to solve algebraic and combinatorial problems (see, e.g., [2–5]) have de ...
Quantum Darwinism as a Darwinian process - Non
... Some researchers consider the computational aspect of adaptive systems as central to understanding them. Nobel laureate Sydney Brenner (1999) has called for biological science to focus on developing the theoretical capabilities required to compute organisms’ phenotype from their genotype. This appro ...
... Some researchers consider the computational aspect of adaptive systems as central to understanding them. Nobel laureate Sydney Brenner (1999) has called for biological science to focus on developing the theoretical capabilities required to compute organisms’ phenotype from their genotype. This appro ...
A “Garden of Forking Paths” – the Quantum
... possible to unambiguously assign an objective value to a physical quantity of S represented by an operator X̂ ∈ OS we say that, during the time interval I, an “event” is happening; namely the event that X̂ has an objective value that could, in principle, be observed directly. What this means mathema ...
... possible to unambiguously assign an objective value to a physical quantity of S represented by an operator X̂ ∈ OS we say that, during the time interval I, an “event” is happening; namely the event that X̂ has an objective value that could, in principle, be observed directly. What this means mathema ...
R14
... described by its quantum state. In the actual world, in which a certain measurement has been performed at time t (or no measurement has been performed at t) the system is described by a certain state before t, and by some state after time t. In the counterfactual world in which a different measureme ...
... described by its quantum state. In the actual world, in which a certain measurement has been performed at time t (or no measurement has been performed at t) the system is described by a certain state before t, and by some state after time t. In the counterfactual world in which a different measureme ...
Quantum-state estimation
... find the representation W( a ) of a density matrix corresponding to an unknown signal, the existing reconstruction techniques apply the relation ~2! on the actually detected statistics w( j ). Apart from how ingeniously the individual inversions have been done, some problems are caused by applicatio ...
... find the representation W( a ) of a density matrix corresponding to an unknown signal, the existing reconstruction techniques apply the relation ~2! on the actually detected statistics w( j ). Apart from how ingeniously the individual inversions have been done, some problems are caused by applicatio ...
Lecture 16: Quantum error correction Classical repetition codes
... Now, this encoding protects against some errors, but actually makes things worse for others as we will see. Let us start off with a type of error that it does correct against: bit-flip errors. Specifically, consider a quantum channel that is similar to the classical binary symmetric channel, again p ...
... Now, this encoding protects against some errors, but actually makes things worse for others as we will see. Let us start off with a type of error that it does correct against: bit-flip errors. Specifically, consider a quantum channel that is similar to the classical binary symmetric channel, again p ...
Lecture 14: Quantum information revisited Density matrices
... be discussed will be of a somewhat different flavor, starting with quantum error correction and moving on to quantum cryptography. Before discussing these topics, however, it will be helpful to say more about the mathematics of quantum information in general. In the beginning of the course I describ ...
... be discussed will be of a somewhat different flavor, starting with quantum error correction and moving on to quantum cryptography. Before discussing these topics, however, it will be helpful to say more about the mathematics of quantum information in general. In the beginning of the course I describ ...
Do quantum strategies always win?
... the maximally entangled or the completely separable states. There is however a crucial difference between the classical penny flip and the entangled quantum penny flip. In the former there is no ‘draw’ while in the latter the final state could be in an non-maximally entangled state, in which case th ...
... the maximally entangled or the completely separable states. There is however a crucial difference between the classical penny flip and the entangled quantum penny flip. In the former there is no ‘draw’ while in the latter the final state could be in an non-maximally entangled state, in which case th ...
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.