Superposition, Entanglement, and Raising Schrödinger’s Cat Nobel Lecture, December 8, 2012
... complex way, which could then lead to bizarre consequences. In his specific example, the system is composed of a single radioactive particle and a cat placed together with a mechanism such that if the particle decays, poison is released, which kills the cat. Quantum mechanically we represent the qua ...
... complex way, which could then lead to bizarre consequences. In his specific example, the system is composed of a single radioactive particle and a cat placed together with a mechanism such that if the particle decays, poison is released, which kills the cat. Quantum mechanically we represent the qua ...
Observation of Quantum Oscillations between a Josephson Phase Qubit
... probability was previously measured by applying microwaves at a frequency !31 for a duration of 80 –100 ns. If the qubit is initially in state j1i, the !31 signal causes a transition to state j3i, quickly followed by the qubit tunneling into the right-hand well. In this way, the qubit measurement co ...
... probability was previously measured by applying microwaves at a frequency !31 for a duration of 80 –100 ns. If the qubit is initially in state j1i, the !31 signal causes a transition to state j3i, quickly followed by the qubit tunneling into the right-hand well. In this way, the qubit measurement co ...
Spin-orbit coupling effects in two
... where each column vector represents one of the 2n possible states that can be built from N Cbits. The amount of information kept in N Cbits or in a c-register is S = log2 W = c, where W = 2c represents the number of the possible configurations of a register. The classical algorithms use the Boolean l ...
... where each column vector represents one of the 2n possible states that can be built from N Cbits. The amount of information kept in N Cbits or in a c-register is S = log2 W = c, where W = 2c represents the number of the possible configurations of a register. The classical algorithms use the Boolean l ...
introduction to quantum computing 1.
... observables, and how they relate to each other. • Quantum mechanics is what you would inevitably come up with if you would started from probability theory, and then said, let’s try to generalize it so that the numbers we used to call ”probabilities” can be negative numbers. As such, the theory could ...
... observables, and how they relate to each other. • Quantum mechanics is what you would inevitably come up with if you would started from probability theory, and then said, let’s try to generalize it so that the numbers we used to call ”probabilities” can be negative numbers. As such, the theory could ...
Quantum Databases
... Rescheduling under such circumstances is time-consuming and often stressful; indeed, many companies employ full-time administrative assistants who devote a lot of time specifically to calendar management. On the other hand, suppose that Mickey and his team were all willing to delay finalizing their ...
... Rescheduling under such circumstances is time-consuming and often stressful; indeed, many companies employ full-time administrative assistants who devote a lot of time specifically to calendar management. On the other hand, suppose that Mickey and his team were all willing to delay finalizing their ...
Linear Logic for Generalized Quantum Mechanics
... many philosophers of physics. But quantum logic may be too abstract to be useful. First, it is a very minimal logic of QM, not even addressing time, in particular saying nothing about how wave functions evolve and how propositions may change their values with time. Nor does Heisenberg uncertainty a ...
... many philosophers of physics. But quantum logic may be too abstract to be useful. First, it is a very minimal logic of QM, not even addressing time, in particular saying nothing about how wave functions evolve and how propositions may change their values with time. Nor does Heisenberg uncertainty a ...
Quantum information with continuous variables
... means of which information is processed or transmitted. Hence physical concepts, and at a more fundamental level quantum physical concepts, must be incorporated in a theory of information and computation. Furthermore, the exploitation of quantum effects may even prove beneficial for various kinds of ...
... means of which information is processed or transmitted. Hence physical concepts, and at a more fundamental level quantum physical concepts, must be incorporated in a theory of information and computation. Furthermore, the exploitation of quantum effects may even prove beneficial for various kinds of ...
Lecture, Week 1: September 27th - October 3rd, 1999 Outline 1
... parallelism. These interactions perform computations and, at some point, the qubits all collapse, or reduce to a single set of classical bits---the "solution". Significant technological and commercial advantages are offered by quantum computers if they are ever actually constructed (prototypes now e ...
... parallelism. These interactions perform computations and, at some point, the qubits all collapse, or reduce to a single set of classical bits---the "solution". Significant technological and commercial advantages are offered by quantum computers if they are ever actually constructed (prototypes now e ...
HBNI Th65 - The Institute of Mathematical Sciences
... studied over the last few decades. But there are other correlations that are motivated from an information-theoretic or measurement perspective, which try to capture this classicalquantum boundary [2]. These include quantum discord, classical correlation, measurement induced disturbance, quantum def ...
... studied over the last few decades. But there are other correlations that are motivated from an information-theoretic or measurement perspective, which try to capture this classicalquantum boundary [2]. These include quantum discord, classical correlation, measurement induced disturbance, quantum def ...
The fuzzball paradigm for black holes: FAQ
... solutions to the gauge field Aµ arising from the compact S 1 , then we would not have found this solution. This microstate was ‘simple’ because only 2 monopoles were involved, but there are states with more and more such monopoles, and as we move to the generic microstate, the locations of these mon ...
... solutions to the gauge field Aµ arising from the compact S 1 , then we would not have found this solution. This microstate was ‘simple’ because only 2 monopoles were involved, but there are states with more and more such monopoles, and as we move to the generic microstate, the locations of these mon ...
Aspects of quantum information theory
... computers”, capable of handling otherwise untractable problems, has excited not only researchers from many different fields like physicists, mathematicians and computer scientists, but also a large public audience. On a practical level all these new visions are based on the ability to control the qu ...
... computers”, capable of handling otherwise untractable problems, has excited not only researchers from many different fields like physicists, mathematicians and computer scientists, but also a large public audience. On a practical level all these new visions are based on the ability to control the qu ...
Algebraic Topology Foundations of Supersymmetry and Symmetry
... several, meaningful ways are key to linking abstract, quantum operator algebras and symmetry properties with actual numerical computations of quantum eigenvalues and their eigenstates, as well as a wide variety of numerical factors involved in computing quantum dynamics. The wellknown connection bet ...
... several, meaningful ways are key to linking abstract, quantum operator algebras and symmetry properties with actual numerical computations of quantum eigenvalues and their eigenstates, as well as a wide variety of numerical factors involved in computing quantum dynamics. The wellknown connection bet ...
TOPICS IN QUANTUM NANOSTRUCTURE PHYSICS: SPIN-ORBIT EFFECTS AND FAR-INFRARED RESPONSE TEMES DE F´
... the three spatial components of the density, which in addition is a simpler both conceptually and practically quantity to deal with. On the other hand, the exchange-correlation part of the electron-electron interaction, neglected or only partially taken into account in the above-mentioned approaches ...
... the three spatial components of the density, which in addition is a simpler both conceptually and practically quantity to deal with. On the other hand, the exchange-correlation part of the electron-electron interaction, neglected or only partially taken into account in the above-mentioned approaches ...
The Violation of Bell Inequalities in the Macroworld
... (pers. com.) suggested that the macroscopic violation of Bell inequalities by the vessels of water example does not have the same ``status'' as the microscopic violation in the Bohm example of entangled spins, because events are identified that are not identical. This idea was first considered in Ae ...
... (pers. com.) suggested that the macroscopic violation of Bell inequalities by the vessels of water example does not have the same ``status'' as the microscopic violation in the Bohm example of entangled spins, because events are identified that are not identical. This idea was first considered in Ae ...
Chapter 14.
... Significant Bit (MSB), if s3 and b3 has different value ( s3 b3 1 ) and b3 1 , then we know B S . If s3 and b3 are the same ( s3 b3 0 ), then we need to move to the next significant bit. This can be carried out until the Least Significant Bit (MSB) is reached. Based on that, we can write ...
... Significant Bit (MSB), if s3 and b3 has different value ( s3 b3 1 ) and b3 1 , then we know B S . If s3 and b3 are the same ( s3 b3 0 ), then we need to move to the next significant bit. This can be carried out until the Least Significant Bit (MSB) is reached. Based on that, we can write ...
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.