QMC: A Model Checker for Quantum Systems
... Modelling Language. Protocols are modelled using a high-level, concurrent programming language developed especially for QMC, with influences from Pascal and the language PROMELA [8]. It is an imperative language with lightweight concurrency, typed variables (which may be local to a process or shared ...
... Modelling Language. Protocols are modelled using a high-level, concurrent programming language developed especially for QMC, with influences from Pascal and the language PROMELA [8]. It is an imperative language with lightweight concurrency, typed variables (which may be local to a process or shared ...
The Learnability of Quantum States
... Alice sends a+O(log N) bits and Merlin sends w bits Proof: Alice divides x into w-bit substrings. She then encodes each one with an error-correcting code, and sends Bob a random k along with the kth bit of each codeword. Merlin sends the substring containing xi. ...
... Alice sends a+O(log N) bits and Merlin sends w bits Proof: Alice divides x into w-bit substrings. She then encodes each one with an error-correcting code, and sends Bob a random k along with the kth bit of each codeword. Merlin sends the substring containing xi. ...
Quantum Process Tomography: Theory and Experiment
... QUANTUM RESOURCES (qbits, operations, state preparations, measurements, etc): • prepare ...
... QUANTUM RESOURCES (qbits, operations, state preparations, measurements, etc): • prepare ...
The Limits of Quantum Computers
... Upper bound on the sample complexity of “PAC” (Probably Approximately Correctly) learning a quantum state Informally: Can predict approximate expectation values of most measurements on an n-qubit state, after a number of sample measurements that increases only linearly with n By contrast, traditiona ...
... Upper bound on the sample complexity of “PAC” (Probably Approximately Correctly) learning a quantum state Informally: Can predict approximate expectation values of most measurements on an n-qubit state, after a number of sample measurements that increases only linearly with n By contrast, traditiona ...
Latent Dirichlet Allocation for scientific topic
... The subjects of classification, retrieval and browsing have been central topics of research in the data mining community for the past decade, but there is still more work to be done. Recently, there has been a surge of interest in the machine learning community about “topic models” which attempt to ...
... The subjects of classification, retrieval and browsing have been central topics of research in the data mining community for the past decade, but there is still more work to be done. Recently, there has been a surge of interest in the machine learning community about “topic models” which attempt to ...
De Broglie-Bohm and Feynman Path Integrals
... culmination of his independent work beginning in [dB23] and supplemented by Schrödinger’s discoveries in [Sch26], amounted to the basic axioms of what is now referred to as de Broglie-Bohm theory. De Broglie’s fundamental insight was the following. In considering diffraction (the apparent ...
... culmination of his independent work beginning in [dB23] and supplemented by Schrödinger’s discoveries in [Sch26], amounted to the basic axioms of what is now referred to as de Broglie-Bohm theory. De Broglie’s fundamental insight was the following. In considering diffraction (the apparent ...
![arXiv:1310.3262v1 [quant-ph] 11 Oct 2013](http://s1.studyres.com/store/data/017897146_1-7f44e165f08f900df74f4825be2ca4f2-300x300.png)
Segmentation and Fitting using Probabilistic Methods
... – plug these in, now estimate parameters – re-estimate appropriate values for missing variables, continue ...
... – plug these in, now estimate parameters – re-estimate appropriate values for missing variables, continue ...
1 Introduction and Disclaimer
... In this section, we construct the spaces M(r) whose cohomologies are the tensor products of the basic representation of Y . We constructed Hilbn C2 by symplectic reduction: Hilbn C2 = T ∗ (End(Cn ) ⊕ Hom(C1 , Cn ))//θ0 Gl(n). We can similarly define M(r, n) = T ∗ (End(Cn ) ⊕ Hom(Cr , Cn ))//θ0 Gl(n) ...
... In this section, we construct the spaces M(r) whose cohomologies are the tensor products of the basic representation of Y . We constructed Hilbn C2 by symplectic reduction: Hilbn C2 = T ∗ (End(Cn ) ⊕ Hom(C1 , Cn ))//θ0 Gl(n). We can similarly define M(r, n) = T ∗ (End(Cn ) ⊕ Hom(Cr , Cn ))//θ0 Gl(n) ...
quant-ph/0205032 PDF
... The proof goes through under the assumption that the distribution of the instrument variables pertaining to one station is independent of the setting of the other (if this assumption is not made, it is of course possible to reproduce the statistical predictions of quantum mechanics and thereby viola ...
... The proof goes through under the assumption that the distribution of the instrument variables pertaining to one station is independent of the setting of the other (if this assumption is not made, it is of course possible to reproduce the statistical predictions of quantum mechanics and thereby viola ...
Quantum NP - A Survey Dorit Aharonov and Tomer Naveh
... cannot help the prover in case x is not in the language. We construct a new verifier which runs in parallel polynomially many copies of the verifier V , then outputs the majority. The existence of a witness for the new verifier in case x ∈ L is trivial since it is simply duplicate copies of the orig ...
... cannot help the prover in case x is not in the language. We construct a new verifier which runs in parallel polynomially many copies of the verifier V , then outputs the majority. The existence of a witness for the new verifier in case x ∈ L is trivial since it is simply duplicate copies of the orig ...
From Physics to Information Theory and Back - Philsci
... Though CBH describe their conditions as “definitive of what it means to be a quantum theory in the most general sense” (1563), it should be noted that these three properties do not suffice to characterize quantum mechanics. In a quantum theory, there are no states that are dispersion-free in all obs ...
... Though CBH describe their conditions as “definitive of what it means to be a quantum theory in the most general sense” (1563), it should be noted that these three properties do not suffice to characterize quantum mechanics. In a quantum theory, there are no states that are dispersion-free in all obs ...
Lecture 8
... Success probability? 99% of all strings have Hamming weight at most n/2+O(n1/2) Hence resulting superposition is close to the desired one and we will have small error For example error 5% with n/2+n1/2 queries ...
... Success probability? 99% of all strings have Hamming weight at most n/2+O(n1/2) Hence resulting superposition is close to the desired one and we will have small error For example error 5% with n/2+n1/2 queries ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.