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Spurred by Einstein's appendix to \emph{The Meaning of Relativity}, we embark on an algebraic voyage from von Neumann algebras to the emergence of special relativity from algebraic structure. We identify time with modular flow (in line with Connes and Rovelli's Thermal Time …
us (code pays fourni par la source)
Spurred by Einstein's appendix to \emph{The Meaning of Relativity}, we embark on an algebraic voyage from von Neumann algebras to the emergence of special relativity from algebraic structure. We identify time with modular flow (in line with Connes and Rovelli's Thermal Time …
us (code pays fourni par la source)
Qubits are a great way to build a quantum computer, but a limited way to program one. We replace the usual "states and gates" formalism with a "props and ops" (propositions and operators) model in which (a) the C*-algebra of observables supplies …
Oriel Kiss, Utkarsh Azad, Borja Requena, Alessandro Roggero et autres
We investigate the feasibility of early fault-tolerant quantum algorithms focusing on ground-state energy estimation problems. In particular, we examine the computation of the cumulative distribution function (CDF) of the spectral measure of a Hamiltonian and the identification of its discontinuities. Scaling these …
ch, it, ca, es (code pays fourni par la source)
This essay gives a short, informal account of the development of digital logic from the Pleistocene to the Manhattan Project, the introduction of reversible circuits, and Richard Feynman's allied proposal for quantum computing. We argue that Feynman's state-based analogy is not the …
How can we take inspiration from a typical quantum algorithm to design heuristics for machine learning? A common blueprint, used from Deutsch-Josza to Shor's algorithm, is to place labeled information in superposition via an oracle, interfere in Fourier space, and measure. In …
Oriel Kiss, Utkarsh Azad, Borja Requena, Alessandro Roggero et autres
We investigate the feasibility of early fault-tolerant quantum algorithms focusing on ground-state energy estimation problems. In particular, we examine the computation of the cumulative distribution function (CDF) of the spectral measure of a Hamiltonian and the identification of its discontinuities. Scaling these …
Wyatt Reeves, Moshe Rozali, Petar Simidzija, James Sully et autres
Abstract When does a holographic CFT with a boundary added to it (a BCFT) also have a ‘good’ holographic dual with a localized gravitating end-of-the-world brane? We argue that the answer to this question is almost never. By studying Lorentzian BCFT correlators, …
ca (code pays fourni par la source)
Ning Bao, Jason Pollack, David Wakeham, Elizabeth Wildenhain
Abstract In this work, we use quantum complexity theory to quantify the difficulty of distinguishing eigenstates obeying the eigenstate thermalization hypothesis (ETH). After identifying simple operators with an algebra of low-energy observables and tracing out the complementary high-energy Hilbert space, the ETH …
us, ca (code pays fourni par la source)
Abstract In recent work, it was argued that quantum computations with inputs and outputs distributed in spacetime, or quantum tasks, impose constraints on entanglement in holographic theories. The resulting constraint was named the connected wedge theorem and can be verified by a …
ca (code pays fourni par la source)
James Sully, Mark Van Raamsdonk, David Wakeham
Abstract In this note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral. Holographic calculations suggest that these entropies undergo phase …
ca (code pays fourni par la source)
At a certain infamous tea party, the Mad Hatter posed the following riddle: why is a raven like a writing-desk? We do not answer this question. Instead, we solve a related nonsense query: why is a soap bubble like a railway? The …
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