12 Simon Oracle Problem
... values. For example, Shor’s Algorithm. The second group contains those which transform the state to increase the likelihood that the ouput of interest will be read, Grover’s Algorithm. The third group contains algorithms which are based on a combination of methods from the previous two ...
... values. For example, Shor’s Algorithm. The second group contains those which transform the state to increase the likelihood that the ouput of interest will be read, Grover’s Algorithm. The third group contains algorithms which are based on a combination of methods from the previous two ...
A Mathematician`s Viewpoint to Bell`s theorem: In Memory of Walter
... happen in this chosen once and for ever probability space. When I started to develop so called contextual probability theory, i.e., a theory of probability in that any context (a complex of physical or biological, or social conditions) determines its own probability space [21], [22], the former stu ...
... happen in this chosen once and for ever probability space. When I started to develop so called contextual probability theory, i.e., a theory of probability in that any context (a complex of physical or biological, or social conditions) determines its own probability space [21], [22], the former stu ...
god`s dice: the law in a probabilistic world
... findings of natural scientists and philosophers. In fact, the definition of the basic concepts of tort law (i.e., causation and harm) is strictly dependent on the accepted postulates on the nature of the world.13 Admitting the inherent limits of scientific knowledge forces us to redefine what should ...
... findings of natural scientists and philosophers. In fact, the definition of the basic concepts of tort law (i.e., causation and harm) is strictly dependent on the accepted postulates on the nature of the world.13 Admitting the inherent limits of scientific knowledge forces us to redefine what should ...
M13/01
... In Section 3 we quantize the classical framework by forming the Hilbert space H = L2 (Ω, A, νc ). The quantum dynamics is governed by a sequence of positive operators ρn on H that satisfy normalization and consistency conditions. We employ ρn to construct decoherence functionals and a quantum measur ...
... In Section 3 we quantize the classical framework by forming the Hilbert space H = L2 (Ω, A, νc ). The quantum dynamics is governed by a sequence of positive operators ρn on H that satisfy normalization and consistency conditions. We employ ρn to construct decoherence functionals and a quantum measur ...
Document
... We know the symmetry of the world is at least Poincaré. Also, all measurements are relative to a standard. The group characterized by these properties is the conformal group, O(4,2) or its covering group SU(2,2). Since we know that spinors are needed to describe ...
... We know the symmetry of the world is at least Poincaré. Also, all measurements are relative to a standard. The group characterized by these properties is the conformal group, O(4,2) or its covering group SU(2,2). Since we know that spinors are needed to describe ...
Private-Key Quantum Money
... using the states |$k*—but measuring |$k* could destroy it! Also, |$k* might happen to be accepted by many keys k other than “true” one ...
... using the states |$k*—but measuring |$k* could destroy it! Also, |$k* might happen to be accepted by many keys k other than “true” one ...
BQP and the Polynomial Hierarchy
... [Rossman-Servedio-Tan 2015], and doesn’t re-separate SampBPP and SampBQP by the BBBV lower bound ...
... [Rossman-Servedio-Tan 2015], and doesn’t re-separate SampBPP and SampBQP by the BBBV lower bound ...
The Learnability of Quantum States
... Let f(g)=1 if gH and f(g)=0 otherwise Given |H (a uniform superposition over H), Watrous showed that we can efficiently compute f Test whether |H and |gH are equal or orthogonal Conversely, given a black box that computes f, we can efficiently prepare |H First prepare |G, then postselect on f( ...
... Let f(g)=1 if gH and f(g)=0 otherwise Given |H (a uniform superposition over H), Watrous showed that we can efficiently compute f Test whether |H and |gH are equal or orthogonal Conversely, given a black box that computes f, we can efficiently prepare |H First prepare |G, then postselect on f( ...
PDF only - at www.arxiv.org.
... world (indeed, basically all that Christian belief has to say on the final destiny of matter is that the final destiny of humans does involve a material element, in the following of Jesus, ...
... world (indeed, basically all that Christian belief has to say on the final destiny of matter is that the final destiny of humans does involve a material element, in the following of Jesus, ...
Know Thyself
... battle tomorrow’ and ‘There won’t be a sea battle tomorrow’ are both meaningful sentences, not at all questionable like ‘This sentence is false’; they should have a truth value. Anyway, the medieval philosophers were obsessed with this problem which they recast in terms of God’s foreknowledge. If Go ...
... battle tomorrow’ and ‘There won’t be a sea battle tomorrow’ are both meaningful sentences, not at all questionable like ‘This sentence is false’; they should have a truth value. Anyway, the medieval philosophers were obsessed with this problem which they recast in terms of God’s foreknowledge. If Go ...
On the Interpretation of Quantum Mechanics
... there is only the wavefunction |ψ> – there is no answer to the question where is the particle as we think of it in classical terms. The natural question following this introduction is “what is the wavefunction |ψ>?” Or, “what is waving?” In this interpretation, the only allowed answer is that the ( ...
... there is only the wavefunction |ψ> – there is no answer to the question where is the particle as we think of it in classical terms. The natural question following this introduction is “what is the wavefunction |ψ>?” Or, “what is waving?” In this interpretation, the only allowed answer is that the ( ...
The History of the Free Will Problem
... about gods controlling the human will into arguments about preexisting causal laws controlling it. The cosmological problem became a psychological problem. Some saw a causal chain of events leading back to a first cause (later taken by many religious thinkers to be God). Other physiologoi held that ...
... about gods controlling the human will into arguments about preexisting causal laws controlling it. The cosmological problem became a psychological problem. Some saw a causal chain of events leading back to a first cause (later taken by many religious thinkers to be God). Other physiologoi held that ...
Conceptions of Determinism in Radical Behaviorism
... “According to the most central tenets of our creed, all behavior is determined by genetic and environmental processes” (p. 36). Similarly, Baum's (1994) straightforward remarks on determinism are easily interpreted as metaphysical in nature. Baum is undaunted in considering determinism to be "the no ...
... “According to the most central tenets of our creed, all behavior is determined by genetic and environmental processes” (p. 36). Similarly, Baum's (1994) straightforward remarks on determinism are easily interpreted as metaphysical in nature. Baum is undaunted in considering determinism to be "the no ...
Dane Rudhyar and Alan Leo Platonistic roots
... what the other parts shall be. The future has no ambiguous possibilities hidden in its work: the part we call the present is compatible with only one totality. Any other future complement than the one fixed from eternity is impossible1. This definition of determinism is Laplacian (if all the laws of ...
... what the other parts shall be. The future has no ambiguous possibilities hidden in its work: the part we call the present is compatible with only one totality. Any other future complement than the one fixed from eternity is impossible1. This definition of determinism is Laplacian (if all the laws of ...
Another version - Scott Aaronson
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
The Postselection Principle
... That which we can observe, we can understand That which we can observe, and then observe in a new situation where we can’t predict what it will do even given the earlier observation, and so on for a polynomial number of steps, we can understand (provided we can postselect a description consistent wi ...
... That which we can observe, we can understand That which we can observe, and then observe in a new situation where we can’t predict what it will do even given the earlier observation, and so on for a polynomial number of steps, we can understand (provided we can postselect a description consistent wi ...
Another version - Scott Aaronson
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
... Time/Space Tradeoff: Starting with the “naïve, ~2n-time and -memory Schrödinger simulation,” every time you halve the available memory, multiply the running time by the circuit depth d and you can still simulate If the gates are nearest-neighbor on a nn grid, can replace the d by d/n, by switchi ...
Moral Luck, Self-cultivation, and Responsibility: The Confucian
... c annot fully control their own condition. However, he nevertheless did not think humans could exert no power over the circumstances they face. Indeed, Confucius tells the story of a student who overcame fate, defying his poor economic and social situation. “Although Yen Hui 顔回 exerted all kinds of ...
... c annot fully control their own condition. However, he nevertheless did not think humans could exert no power over the circumstances they face. Indeed, Confucius tells the story of a student who overcame fate, defying his poor economic and social situation. “Although Yen Hui 顔回 exerted all kinds of ...
Physical Systems
... the only physical phenomenon not handled well at this time is gravity; quantum mechanics has not yet been extended to be compatible with the theory of general relativity. In these notes we cannot cover quantum mechanics in much depth. For the purpose of examining information processing in physical s ...
... the only physical phenomenon not handled well at this time is gravity; quantum mechanics has not yet been extended to be compatible with the theory of general relativity. In these notes we cannot cover quantum mechanics in much depth. For the purpose of examining information processing in physical s ...
Another version - Scott Aaronson
... somethingtime. classically approximately in classical Thenhard in BPPNP, it’s possible to estimate Per(X), with high nn probability over a Gaussian random matrix X ~ Ν 0,1C We conjecture that the above problem is already #P-complete. If it is, then a fast classical algorithm for approximate Boson ...
... somethingtime. classically approximately in classical Thenhard in BPPNP, it’s possible to estimate Per(X), with high nn probability over a Gaussian random matrix X ~ Ν 0,1C We conjecture that the above problem is already #P-complete. If it is, then a fast classical algorithm for approximate Boson ...
Big Questions Affirmative Evidence
... http://www.theatlantic.com/magazine/archive/2016/06/theres-no-such-thing-as-free-will/480750/ “Philosophers and theologians are used to talking about free will as if it is either on or off; as if our consciousness floats, like a ghost, entirely above the causal chain, or as if we roll through life l ...
... http://www.theatlantic.com/magazine/archive/2016/06/theres-no-such-thing-as-free-will/480750/ “Philosophers and theologians are used to talking about free will as if it is either on or off; as if our consciousness floats, like a ghost, entirely above the causal chain, or as if we roll through life l ...
determinism_and_free..
... is one in which an individual can choose a particular course of action. A non – moral situation therefore is one in which an individual has no choice, or more frequently has the choice dictated to them by something (or someone) over which they have no control. I am not to blame if I cannot breathe u ...
... is one in which an individual can choose a particular course of action. A non – moral situation therefore is one in which an individual has no choice, or more frequently has the choice dictated to them by something (or someone) over which they have no control. I am not to blame if I cannot breathe u ...
A2 Ethics
... is one in which an individual can choose a particular course of action. A non – moral situation therefore is one in which an individual has no choice, or more frequently has the choice dictated to them by something (or someone) over which they have no control. I am not to blame if I cannot breathe u ...
... is one in which an individual can choose a particular course of action. A non – moral situation therefore is one in which an individual has no choice, or more frequently has the choice dictated to them by something (or someone) over which they have no control. I am not to blame if I cannot breathe u ...
You`re not irrational, you`re just quantum probabilistic
... "Our brain can't store everything. We don't always have clear attitudes about things. But when you ask me a question, like 'What do you want for dinner?" I have to think about it and come up with or construct a clear answer right there," Wang said. "That's quantum cognition." "I think the mathematic ...
... "Our brain can't store everything. We don't always have clear attitudes about things. But when you ask me a question, like 'What do you want for dinner?" I have to think about it and come up with or construct a clear answer right there," Wang said. "That's quantum cognition." "I think the mathematic ...
Determinism
Determinism is the philosophical position that for every event, including human action, there exist conditions that could cause no other event. ""There are many determinisms, depending on what pre-conditions are considered to be determinative of an event or action."" Deterministic theories throughout the history of philosophy have sprung from diverse and sometimes overlapping motives and considerations. Some forms of determinism can be empirically tested with ideas from physics and the philosophy of physics. The opposite of determinism is some kind of indeterminism (otherwise called nondeterminism). Determinism is often contrasted with free will.Determinism often is taken to mean causal determinism, which in physics is known as cause-and-effect. It is the concept that events within a given paradigm are bound by causality in such a way that any state (of an object or event) is completely determined by prior states. This meaning can be distinguished from other varieties of determinism mentioned below.Other debates often concern the scope of determined systems, with some maintaining that the entire universe is a single determinate system and others identifying other more limited determinate systems (or multiverse). Numerous historical debates involve many philosophical positions and varieties of determinism. They include debates concerning determinism and free will, technically denoted as compatibilistic (allowing the two to coexist) and incompatibilistic (denying their coexistence is a possibility).Determinism should not be confused with self-determination of human actions by reasons, motives, and desires. Determinism rarely requires that perfect prediction be practically possible.