Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Kliesch, Martin"'
The rapid advancement of quantum computers makes it particularly important to develop methods for certifying their correct functioning. In a single-device setup, we propose a simple protocol called quantum system quizzing. This protocol achieves self
Externí odkaz:
http://arxiv.org/abs/2411.04215
We study unitary and state $t$-designs from a computational complexity theory perspective. First, we address the problems of computing frame potentials that characterize (approximate) $t$-designs. We provide a quantum algorithm for computing the fram
Externí odkaz:
http://arxiv.org/abs/2410.23353
Autor:
Eckstein, Timo, Mansuroglu, Refik, Wolf, Stefan, Nützel, Ludwig, Tasler, Stephan, Kliesch, Martin, Hartmann, Michael J.
Efficiently estimating energy expectation values of lattice Hamiltonians on quantum computers is a serious challenge, where established techniques can require excessive sample numbers. Here we introduce geometric partitioning as a scalable alternativ
Externí odkaz:
http://arxiv.org/abs/2410.21251
We propose a novel and efficient scheme to engineer arbitrary (local) many-body Hamiltonians by interleaving the free evolution of a fixed system Hamiltonian with layers of single-qubit Pauli or Clifford gates. These sequences are constructed by solv
Externí odkaz:
http://arxiv.org/abs/2410.19903
Randomized benchmarking (RB) is the most commonly employed protocol for the characterization of unitary operations in quantum circuits due to its reasonable experimental requirements and robustness against state preparation and measurement (SPAM) err
Externí odkaz:
http://arxiv.org/abs/2408.11111
We develop an efficient method for certifying single-qubit quantum gates in a black-box scenario, assuming only the dimension of the quantum system is known. The method is based on testing the outcomes of exact quantum computations on a single qubit,
Externí odkaz:
http://arxiv.org/abs/2401.17006
Expectation values of observables are routinely estimated using so-called classical shadows$\unicode{x2014}$the outcomes of randomized bases measurements on a repeatedly prepared quantum state. In order to trust the accuracy of shadow estimation in p
Externí odkaz:
http://arxiv.org/abs/2310.19947
Publikováno v:
Quantum 8, 1279 (2024)
Multi-qubit entangling interactions arise naturally in several quantum computing platforms and promise advantages over traditional two-qubit gates. In particular, a fixed multi-qubit Ising-type interaction together with single-qubit X-gates can be us
Externí odkaz:
http://arxiv.org/abs/2307.11160
Autor:
Gresch, Alexander, Kliesch, Martin
Estimation of the energy of quantum many-body systems is a paradigmatic task in various research fields. In particular, efficient energy estimation may be crucial in achieving a quantum advantage for a practically relevant problem. For instance, the
Externí odkaz:
http://arxiv.org/abs/2301.03385
In its many variants, randomized benchmarking (RB) is a broadly used technique for assessing the quality of gate implementations on quantum computers. A detailed theoretical understanding and general guarantees exist for the functioning and interpret
Externí odkaz:
http://arxiv.org/abs/2212.06181