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Non-Markovian $1/f$ noise consists a dominant source of decoherence in superconducting qubits, yet its slow nature poses a significant challenge for accurate simulation. Here we develop a hierarchical equations of motion (HEOM) framework…

Quantum Physics · Physics 2025-09-11 Yinjia Chen , Shuocang Zhang , Qiang Shi

This study introduces a superconducting quantum chip architecture designed to simultaneously preserve entanglement and readout fidelity, addressing one of the key trade-offs in the development of scalable quantum hardware. In conventional…

Quantum Physics · Physics 2026-01-05 Ahmad Salmanogli , Hesam Zandi

We introduce the concept of embedding quantum simulators, a paradigm allowing the efficient quantum computation of a class of bipartite and multipartite entanglement monotones. It consists in the suitable encoding of a simulated quantum…

Quantum Physics · Physics 2015-06-16 R. Di Candia , B. Mejia , H. Castillo , J. S. Pedernales , J. Casanova , E. Solano

Entanglement plays a crucial role in quantum processes particularly those pertaining to quantum information and computation. An analytical expression for an entanglement measure defined in terms of success rate of Grover's search algorithm…

Quantum Physics · Physics 2007-05-23 Arti Chamoli , C. M. Bhandari

Logic entailment is essential to reasoning, but entailment checking has the worst-case complexity of an exponential of the variable size. With recent development, quantum computing when mature may allow an effective approach for various…

Quantum Physics · Physics 2025-06-05 Tatpong Katanyukul

We study the dynamical properties of a strongly scrambling quantum circuit involving a projective measurement on a finite-sized region by studying the operator entanglement entropy and mutual information (OEE and BOMI) of the dual operator…

High Energy Physics - Theory · Physics 2023-04-05 Kanato Goto , Masahiro Nozaki , Kotaro Tamaoka , Mao Tian Tan

The effect of noise on various protocols of secure quantum communication has been studied. Specifically, we have investigated the effect of amplitude damping, phase damping, squeezed generalized amplitude damping, Pauli type as well as…

Quantum Physics · Physics 2022-06-10 Vishal Sharma , Kishore Thapliyal , Anirban Pathak , Subhashish Banerjee

The quantum phase estimation (QPE) is one of the fundamental algorithms based on the quantum Fourier transform. It has applications in order-finding, factoring, and finding the eigenvalues of unitary operators. The major challenge in…

Quantum Physics · Physics 2023-12-05 Muhammad Faizan , Muhammad Faryad

The entanglement of a quantum system can be valuated using Mermin polynomials. This gives us a means to study entanglement evolution during the execution of quantum algorithms. We first consider Grover's quantum search algorithm, noticing…

The operator space entanglement entropy, or simply 'operator entanglement' (OE), is an indicator of the complexity of quantum operators and of their approximability by Matrix Product Operators (MPO). We study the OE of the density matrix of…

Understanding how noise degrades entanglement is crucial for the development of reliable quantum technologies. While the Markovian approximation simplifies the analysis of noise, it remains computationally demanding, particularly for…

Quantum Physics · Physics 2026-01-27 Nunzia Cerrato , Sauro Succi , Giacomo De Palma , Vittorio Giovannetti

Within a numerically exact simulation technique, the dissipative dynamics of a two-qubit architecture is considered in which each qubit couples to its individual noise source (reservoir). The goal is to reveal the role of subtle…

Quantum Physics · Physics 2026-04-14 Kiyoto Nakamura , Joachim Ankerhold

In recent years, efficient quantum circuit simulations incorporating ideal noise assumptions have relied on tensor network simulators, particularly leveraging the matrix product density operator (MPDO) framework. However, experiments on…

Quantum Physics · Physics 2025-08-12 Wei-guo Ma , Yun-Hao Shi , Kai Xu , Heng Fan

We study effects of static inter-qubit interactions and random errors in quantum gates on the stability of various quantum algorithms including the Grover quantum search algorithm and the quantum chaos maps. For the Grover algorithm our…

Quantum Physics · Physics 2007-05-23 A. A. Pomeransky , O. V. Zhirov , D. L. Shepelyansky

We address the use of entangled qubits as quantum probes to characterize the noise induced by complex environments. In particular, we show that a joint measurement on entangled probes can improve estimation of the correlation time for a…

Quantum Physics · Physics 2017-11-07 Matteo A. C. Rossi , Matteo G. A. Paris

We investigate the influence of noise on a graph state generation scheme which exploits a mirror inverting spin chain. Within this scheme the spin chain is used repeatedly as an entanglement bus (EB) to create multi-partite entanglement.…

Quantum Physics · Physics 2009-11-13 S. R. Clark , A. Klein , M. Bruderer , D. Jaksch

We investigate operator dynamics and entanglement growth in dual-unitary circuits, a class of locally scrambled quantum systems that enables efficient simulation beyond the exponential complexity of the Hilbert space. By mapping the…

Quantum Physics · Physics 2025-04-02 Menghan Song , Zhaoyi Zeng , Ting-Tung Wang , Yi-Zhuang You , Zi Yang Meng , Pengfei Zhang

Universal features of chaotic quantum dynamics underlie our understanding of thermalization in closed quantum systems and the complexity of quantum computations. Reversible automaton circuits, comprised of classical logic gates, have…

Quantum Physics · Physics 2026-03-11 Ben T. McDonough , Claudio Chamon , Justin H. Wilson , Thomas Iadecola

Random quantum circuit is a minimally structured model to study the entanglement dynamics of many-body quantum systems. In this paper, we considered a one-dimensional quantum circuit with noisy Haar-random unitary gates using density matrix…

Quantum Physics · Physics 2022-05-16 Qi Zhang , Guang-Ming Zhang

We consider Grover's search algorithm on a model quantum computer implemented on a chain of four or five nuclear spins with first and second neighbour Ising interactions. Noise is introduced into the system in terms of random fluctuations…

Quantum Physics · Physics 2015-05-13 T. Gorin , L. Lara , G. V. Lopez
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