Entanglement in Quantum Physics

Hai Quang Dinh, Bac Trong Nguyen, Hiep L. Thi +2 more

In this paper, we construct entanglement-assisted quantum error-correcting codes (EAQEC codes) of physical qubits $p^{s}$ over $\mathbb{F}_{p^{m}}$ . We compare our EAQEC codes with all known EAQEC codes to see that our EAQEC codes are new in the sense that their parameters are different from all the previous constructions. If we fix the physical qubits and the logical qubits of EAQEC codes, many of them have larger quantum distances than the well known EAQEC codes in the literature. Moreover, some of our EAQEC codes achieve larger quantum distances while requiring fewer or the same number of entangled bits compared with existing EAQEC codes when the numbers of physical qubits and logical qubits are fixed. We construct asymmetric entanglement-assisted quantum error-correcting (AEAQEC) MDS codes of physical qubits $p^{s}$ over $\mathbb{F}_{p^{m}}$ . When the physical qubits of the AEAQEC codes is fixed, many of our AEAQEC codes have a significantly larger number of quantum distances compared to all previously constructed AEAQEC codes. We also provide a version of Singleton bound for all AEAQEC codes.

B. A. Grishanin, Victor N. Zadkov

We clarify the microscopic structure of the entangling quantum measurement superoperators and examine their possible physical realization in a simple three-qubit model, which implements the entangling quantum measurement with an arbitrary degree of entanglement.

Stefan Zaichkowski

Jincheng Zhang

This paper investigates the potential of quantum entanglement to accelerate physical simulation processes. Traditional computational methods for simulating quantum systems face significant limitations due to exponential scaling with system size. We propose a novel algorithm, Quantum Entanglement Parallelization (QEP), that leverages the unique properties of quantum entanglement to achieve substantial speedups in complex simulations. The core mechanism involves decomposing computationally intensive tasks into entangled qubit configurations, enabling parallel processing and reducing the computational complexity. This research explores the feasibility of QEP for accelerating simulations in various areas, including molecular dynamics, quantum field theory, and condensed matter physics, ultimately demonstrating its potential to revolutionize the field of physical simulation.