Quantum Computing Based on Quantum Bit Algebra QBA

Samuel L. Braunstein, Arun Kumar Pati

Jincheng Zhang

Quantum-enhanced Boolean Algebra (QBA) represents a novel approach to logical statement verification, utilizing quantum simulation to dramatically accelerate the process compared to classical methods. This paper explores the design of a QBA, detailing the underlying quantum algorithms and their potential to offer a significant speedup in verification. We present a comprehensive overview of the core mechanism, highlighting the advantages of quantum computation over traditional approaches. The research focuses on establishing a robust and scalable framework for QBA verification, demonstrating its potential to revolutionize the field of logical verification. The paper concludes with a discussion of future research directions and potential applications.

Dietmar Hildenbrand

In this chapter, we use GAALOP (Geometric Algebra Algorithms Optimizer) to handle QBA (quantum bit algebra) as a Geometric Algebra for. We make all the calculations online via GAALOPWeb for Qubits. This enables us to make calculations for qubits without the need of installing a specific software. Since GAALOPWeb is webbrowser-based, it can be used on various devices such as PC, tablet or smart phone. We present how the NOT-operation can be applied on one as well as on two qubits.

Kamil A. Valiev

Chen-Xun Weng, Ming-Yang Li, Shi-Gen Li +4 more

Quantum Byzantine agreement (QBA), a cornerstone of quantum blockchain, offers inherent advantages in security and fault tolerance over classical protocols, guaranteed by the laws of quantum mechanics. However, existing multiparty QBA protocols face challenges for large-scale deployment due to exponential communication complexity or reliance on complex multi-particle entanglement. To address this, we propose a multiparty circular QBA protocol that adopts a semi-decentralized architecture, leveraging circular message gathering and quantum digital signatures to achieve quadratic communication complexity and enhanced fault tolerance. Our protocol is experimentally feasible, requiring only weak coherent states, and is compatible with existing star-shaped quantum networks. Simulations conducted on a global satellite-to-ground network demonstrate that the protocol sustains high consensus rates among multiple users, even when employing different key generation protocols under realistic conditions. This work presents a scalable framework for large-scale QBA networks, establishing the foundation for a practical quantum blockchain that enables secure and fault-tolerant decentralized services.

Farid Ya Khalili, Eugene Simon Polzik

Quantum backaction (QBA) of a measurement limits the precision of observation of the motion of a free mass. This profound effect, dubbed the "Heisenberg microscope" in the early days of quantum mechanics, leads to the standard quantum limit (SQL) stemming from the balance between the measurement sensitivity and the QBA. We consider the measurement of motion of a free mass performed in a quantum reference frame with an effective negative mass which is not limited by QBA. As a result, the disturbance on the motion of a free mass can be measured beyond the SQL. QBA-limited detection of motion for a free mass is extremely challenging, but there are devices where this effect is expected to play an essential role, namely, gravitational wave detectors (GWDs) such as LIGO and Virgo. Recent reports on the observations of gravitational waves have opened new horizons in cosmology and astrophysics. We present a general idea and a detailed numerical analysis for QBA-evading measurement of the gravitational wave effect on the GWD mirrors, which can be considered free masses under relevant conditions. The measurement is performed by two entangled beams of light, probing the GWD and an auxiliary atomic spin ensemble, respectively. The latter plays the role of a free negative mass. We show that under realistic conditions the sensitivity of the GWD in m/sqrt[Hz] can be increased by 6 dB over the entire frequency band of interest.