PPT - Fernando Brandao
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
Quantum Computing Applications
... Yet more algorithms There are a number of other quantum algorithms which I don’t have time to go into: Hidden subgroup problems (e.g. [Bacon et al ’05]) Number-theoretic problems (e.g. [Fontein and Wocjan ’11], . . . ) Formula evaluation (e.g. [Reichardt and Špalek ’07]) Tensor contraction (e.g. [ ...
... Yet more algorithms There are a number of other quantum algorithms which I don’t have time to go into: Hidden subgroup problems (e.g. [Bacon et al ’05]) Number-theoretic problems (e.g. [Fontein and Wocjan ’11], . . . ) Formula evaluation (e.g. [Reichardt and Špalek ’07]) Tensor contraction (e.g. [ ...
Strongly correlated phenomena in cavity QED
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
Lecture “Quantum Information” WS 16/17 — Exercise Sheet #3
... a recovery operation conditional on the classical information, but independent of state |ψi. ...
... a recovery operation conditional on the classical information, but independent of state |ψi. ...
Quantum Optics Experiments with Single Photons for Undergraduate Laboratories
... Notice that the visibility for this case can be 1. This type of quantum interference has received much attention for improving over the classical limit of resolution [12]. This interference is similar to the one that gives rise to the Hong-Ou-Mandel interference [13], which produces a characteristic ...
... Notice that the visibility for this case can be 1. This type of quantum interference has received much attention for improving over the classical limit of resolution [12]. This interference is similar to the one that gives rise to the Hong-Ou-Mandel interference [13], which produces a characteristic ...
Lorentz invariance
... We have rederived the hamiltonian of free relativistic bosons by quantization of a scalar field whose equation of motion is the KleinGordon equation (starting with manifestly Lorentz invariant lagrangian). does not work for fermions, anticommutators lead to trivial hamiltonian! ...
... We have rederived the hamiltonian of free relativistic bosons by quantization of a scalar field whose equation of motion is the KleinGordon equation (starting with manifestly Lorentz invariant lagrangian). does not work for fermions, anticommutators lead to trivial hamiltonian! ...
PDF only - at www.arxiv.org.
... (3) hereafter. between 0 and 2 corresponds to the classical local case. 2 ≤ ≤ 2√2 corresponds to quantum nonlocal entangled states, i.e. obtained experimentally with photon polarizations [12]. > 2√2 is what is now known as the Cirel’son bound and goes beyond quantum correlations [1 ...
... (3) hereafter. between 0 and 2 corresponds to the classical local case. 2 ≤ ≤ 2√2 corresponds to quantum nonlocal entangled states, i.e. obtained experimentally with photon polarizations [12]. > 2√2 is what is now known as the Cirel’son bound and goes beyond quantum correlations [1 ...
Quantum and Classical Query Complexities of Local Search are
... is a finite set and S ⊆ Σ[n] for some finite set Σ. The input is a function f ∈ S, hidden by an oracle, such that f (x), where x ∈ [n], can be accessed via a query parameterized by x. The output is some t ∈ T such that (f, t) ∈ R. A special case is the functional oracle problem when the relation is ...
... is a finite set and S ⊆ Σ[n] for some finite set Σ. The input is a function f ∈ S, hidden by an oracle, such that f (x), where x ∈ [n], can be accessed via a query parameterized by x. The output is some t ∈ T such that (f, t) ∈ R. A special case is the functional oracle problem when the relation is ...
Quantum computation and cryptography: an overview
... process, the quantum superposition (2) is ‘‘destroyed’’ and only one of the alternatives (e.g., j0i or j1i) survives the experience. This is the (standard but not free of controversy) so-called wave-function collapse (or measurement process), which raised and keeps raising so many philosophical and ...
... process, the quantum superposition (2) is ‘‘destroyed’’ and only one of the alternatives (e.g., j0i or j1i) survives the experience. This is the (standard but not free of controversy) so-called wave-function collapse (or measurement process), which raised and keeps raising so many philosophical and ...
Occam`s Quantum Strop: Synchronizing and
... Cq (L) for several example processes, each chosen to illustrate distinct properties: q-machine affords a quantum advantage, further compression can be found at longer horizons L, and the compression rate is minimized at the horizon length k—the cryptic order of the classical process [21]. For each e ...
... Cq (L) for several example processes, each chosen to illustrate distinct properties: q-machine affords a quantum advantage, further compression can be found at longer horizons L, and the compression rate is minimized at the horizon length k—the cryptic order of the classical process [21]. For each e ...
CR2
... quantum state of a physical system changes with time. It was formulated in late 1925, and published in 1926, by the Austrian physicist Erwin Schrödinger. In classical mechanics, the equation of motion is Newton's second law, (F ...
... quantum state of a physical system changes with time. It was formulated in late 1925, and published in 1926, by the Austrian physicist Erwin Schrödinger. In classical mechanics, the equation of motion is Newton's second law, (F ...
What can string theory teach us about condensed matter physics?
... translationally-invariant quantum system with a globally conserved U(1) charge Q (the “electron density”) in spatial dimension d > 1. • Describe zero temperature phases where d�Q�/dµ �= 0, where µ (the “chemical potential”) which changes the Hamiltonian, H, to H − µQ. • Compressible systems must be ...
... translationally-invariant quantum system with a globally conserved U(1) charge Q (the “electron density”) in spatial dimension d > 1. • Describe zero temperature phases where d�Q�/dµ �= 0, where µ (the “chemical potential”) which changes the Hamiltonian, H, to H − µQ. • Compressible systems must be ...
