Finding shortest lattice vectors faster using quantum search
... principle ideal problem in real quadratic number fields [40], providing sub-exponential attacks for some systems based on elliptic curve isogenies [24], speeding up exhaustive searching [38, 16], counting [19] and (with appropriate assumptions about the computing architecture) finding collisions and ...
... principle ideal problem in real quadratic number fields [40], providing sub-exponential attacks for some systems based on elliptic curve isogenies [24], speeding up exhaustive searching [38, 16], counting [19] and (with appropriate assumptions about the computing architecture) finding collisions and ...
hep-th/9303127 PDF
... The purpose of these lectures is to present a short review of some recent developments of the lattice approach to the problem of the quantization of gravity. This approach goes back to the seminal paper by Regge (Regge (1961)), but many new and sometimes surprising results have been obtained during ...
... The purpose of these lectures is to present a short review of some recent developments of the lattice approach to the problem of the quantization of gravity. This approach goes back to the seminal paper by Regge (Regge (1961)), but many new and sometimes surprising results have been obtained during ...
Towards UV Finiteness of Infinite Derivative Theories of Gravity and
... gravity is ultraviolet (UV) finite at 1-loop order [4]. That is, at 1-loop order, oneloop counterterms vanish on mass-shell. Now, at 2-loop order, pure gravity has a UV divergence [4, 5, 6]. Since infinitely many local counterterms would be required to eliminate the divergences, pure gravity is said ...
... gravity is ultraviolet (UV) finite at 1-loop order [4]. That is, at 1-loop order, oneloop counterterms vanish on mass-shell. Now, at 2-loop order, pure gravity has a UV divergence [4, 5, 6]. Since infinitely many local counterterms would be required to eliminate the divergences, pure gravity is said ...
Superconducting Qubits and Circuits: Artificial Atoms Coupled to
... We will study different qubit designs and their relative merits. We will also learn how to control and readout the quantum states of qubits and cavities, and how to entangle different their quantum degrees of freedom. In recent decades, we have come to understand that superposition and entanglement ar ...
... We will study different qubit designs and their relative merits. We will also learn how to control and readout the quantum states of qubits and cavities, and how to entangle different their quantum degrees of freedom. In recent decades, we have come to understand that superposition and entanglement ar ...
Measurements in Proof Nets as Higher
... theory. The latter are attracting attention as a useful presentation of quantum nonlocality (see e.g. [9]). On the other hand, while the languages in [11, 16, 21] are much more expressive—they include duplicable classical data (by the ! modality) and/or recursion—their models given in [11, 16] rely ...
... theory. The latter are attracting attention as a useful presentation of quantum nonlocality (see e.g. [9]). On the other hand, while the languages in [11, 16, 21] are much more expressive—they include duplicable classical data (by the ! modality) and/or recursion—their models given in [11, 16] rely ...
