... for quantum mechanical problems by considering the case of the simple harmonic oscillator. We indicate the relations to more conventional approaches, including the formalisms involving operators in Hilbert space and path integrals. Finally, we sketch some new results for relativistic quantum field t ...
Quantum Complexity and Fundamental Physics
... BQP (highly mixed states? restricted sets of gates?) Foil theories that lead to complexity classes slightly larger than BQP (only example I know of: hidden variables) A sane notion of “quantum gravity polynomial-time” (first step: a sane notion of time in quantum gravity?) ...
... BQP (highly mixed states? restricted sets of gates?) Foil theories that lead to complexity classes slightly larger than BQP (only example I know of: hidden variables) A sane notion of “quantum gravity polynomial-time” (first step: a sane notion of time in quantum gravity?) ...
Physics 115A Spring 2006
... Griffiths gives a good, focused explanation, and is generally considered to be clear and well-written; it is probably the most widely used undergraduate textbook. But it contains relatively few examples or worked-out problems, and some key points are left as exercises. I will put several other texts ...
... Griffiths gives a good, focused explanation, and is generally considered to be clear and well-written; it is probably the most widely used undergraduate textbook. But it contains relatively few examples or worked-out problems, and some key points are left as exercises. I will put several other texts ...
The Learnability of Quantum States
... (well, actually the starting point was whether BQP/qpoly QMA/poly … but let’s say it was experimental physics) ...
... (well, actually the starting point was whether BQP/qpoly QMA/poly … but let’s say it was experimental physics) ...
The Transactional Interpretation
... The biggest quantum puzzle: • The ‘measurement problem’ • The probability rule for outcomes of measurements ...
... The biggest quantum puzzle: • The ‘measurement problem’ • The probability rule for outcomes of measurements ...
Toffoli gate
... Different values of x give rise to different patterns The number of values in between the repeating pattern, for a particular value x is called period of x modulo n indicated by r xr=1 mod n ...
... Different values of x give rise to different patterns The number of values in between the repeating pattern, for a particular value x is called period of x modulo n indicated by r xr=1 mod n ...
Quantum Random Walks
... - realization of POVMs via programmable devices - general theory VI. Graphs of entanglement, Ising model & QIT ...
... - realization of POVMs via programmable devices - general theory VI. Graphs of entanglement, Ising model & QIT ...
Glasgow2004
... Modern protocols, e.g., the original BB84 protocol, use only 1qubit technologies → dimension d = 2, usually the polarisation states of the photon. But the security against eavesdropping increases when all the three bases of qubits are used, or by using qudits, or entanglement-based protocols. ...
... Modern protocols, e.g., the original BB84 protocol, use only 1qubit technologies → dimension d = 2, usually the polarisation states of the photon. But the security against eavesdropping increases when all the three bases of qubits are used, or by using qudits, or entanglement-based protocols. ...
Another version - Scott Aaronson
... Range(g) are either equal or disjoint. Decide which. In the “black-box” setting, this problem takes (2n/7) time even with a quantum computer (slight variant of the “collision lower bound” I proved in 2002). Even in non-blackbox setting, would let us solve e.g. Graph Isomorphism Theorem (Harlow-Hayd ...
... Range(g) are either equal or disjoint. Decide which. In the “black-box” setting, this problem takes (2n/7) time even with a quantum computer (slight variant of the “collision lower bound” I proved in 2002). Even in non-blackbox setting, would let us solve e.g. Graph Isomorphism Theorem (Harlow-Hayd ...
III. Quantum Model of the Atom
... • Relative Size of the orbital • n = # of sublevels in that energy level • n2 = # of orbitals in the energy level • 2n2 = total # of electrons in that energy level ...
... • Relative Size of the orbital • n = # of sublevels in that energy level • n2 = # of orbitals in the energy level • 2n2 = total # of electrons in that energy level ...
ppt
... Finally, we can connect everything we know about commutators and the Dirac’s quantum condition and obtain the most fundamental property of the Quantum World For a state that is not an eigenstate of Aˆ , we get various possible results everytime we measure the observable Aˆ in identical systems. A me ...
... Finally, we can connect everything we know about commutators and the Dirac’s quantum condition and obtain the most fundamental property of the Quantum World For a state that is not an eigenstate of Aˆ , we get various possible results everytime we measure the observable Aˆ in identical systems. A me ...
G040162-00 - DCC
... Background: from the UW LSC MOU: 2) Continue work on the efficient quantum simulation techniques described in quant-ph/0401165, "Positive P-Representations of the Thermal Operator from Quantum Control Theory", by J. A. Sidles. 3) Work to establish the formal equivalence (or alternatively, the inequ ...
... Background: from the UW LSC MOU: 2) Continue work on the efficient quantum simulation techniques described in quant-ph/0401165, "Positive P-Representations of the Thermal Operator from Quantum Control Theory", by J. A. Sidles. 3) Work to establish the formal equivalence (or alternatively, the inequ ...
Program - LQG
... Erlangen - Nuremberg University We will present a general mechanism for the emergence of an effective classical spacetime from a fundamental theory of quantum cosmology coupled to matter. This idea is based on QFT on quantum spacetime, and the emergent classical metric is not just the naïve expectat ...
... Erlangen - Nuremberg University We will present a general mechanism for the emergence of an effective classical spacetime from a fundamental theory of quantum cosmology coupled to matter. This idea is based on QFT on quantum spacetime, and the emergent classical metric is not just the naïve expectat ...
Introduction to Nanoelectronics Marc Baldo MIT OpenCourseWare Publication May 2011
... Preface to the OpenCourseWare publication About eight years ago, when I was just starting at MIT, I had the opportunity to attend a workshop on nanoscale devices and molecular electronics. In particular, I remember a presentation by Supriyo Datta from Purdue. He was describing electronic devices fro ...
... Preface to the OpenCourseWare publication About eight years ago, when I was just starting at MIT, I had the opportunity to attend a workshop on nanoscale devices and molecular electronics. In particular, I remember a presentation by Supriyo Datta from Purdue. He was describing electronic devices fro ...