Quantum blockchain using weighted hypergraph states

Banerjee, Shreya; Mukherjee, Arghya; Panigrahi, Prasanta K.

doi:10.1103/physrevresearch.2.013322

Cited by 28 publications

(18 citation statements)

References 22 publications

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“…Thus, the potential advent of a possible quantum computer in the future can create a havoc for the classical blockchain [19] and will surely limit its usefulness for application in electronic voting schemes. Recently, some modifications have been proposed in the current blockchain to develop quantum-proof blockchain via use of post-quantum cryptography [9,20,38,53,54,68] (which are expected to be computationally secure) as well as use of unconditionally secure quantum cryptographic protocols [6,22,41,48,66].…”

Section: Introductionmentioning

confidence: 99%

Anonymous voting scheme using quantum assisted blockchain

Mishra¹,

Thapliyal²,

Rewanth³

et al. 2022

Preprint

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Voting forms the most important tool for arriving at a decision in any institution. The changing needs of the civilization currently demands a practical yet secure electronic voting system, but any flaw related to the applied voting technology can lead to tampering of the results with the malicious outcomes. Currently, blockchain technology due to its transparent structure forms an emerging area of investigation for the development of voting systems with a far greater security. However, various apprehensions are yet to be conclusively resolved before using blockchain in high stakes elections. Other than this, the blockchain based voting systems are vulnerable to possible attacks by upcoming noisy intermediate scale quantum (NISQ) computer. To circumvent, most of these limitations, in this work, we propose an anonymous voting scheme based on quantum assisted blockchain by enhancing the advantages offered by blockchain with the quantum resources such as quantum random number generators and quantum key distribution. The purposed scheme is shown to satisfy the requirements of a good voting scheme. Further, the voting scheme is auditable and can be implemented using the currently available technology.

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Section: Introductionmentioning

confidence: 99%

Anonymous voting scheme using quantum assisted blockchain

Mishra¹,

Thapliyal²,

Rewanth³

et al. 2022

Preprint

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“…To go beyond graph states, while maintaining the important connection to graphs, this concept is generalized to quantum hypergraph states [10,11]. The hypergraph states have been widely applied to different problems of quantum information and computation, such as, error correction [12][13][14] and quantum blockchain [15], measurement based quantum computation [16][17][18][19], study of quantum entanglement [20][21][22][23][24][25][26], continuous variable quanutm information [27], quantum optics [28,29], and neural network [30]. The size of the Hilbert space for a graph or a hypergraph state scales exponentially with the number of qubits.…”

Section: Introductionmentioning

confidence: 99%

Quantum Hypergraph States in Noisy Quantum Channels

Dutta¹,

Banerjee²,

Rani³

2021

Preprint

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The family of quantum graph and hypergraph states are ubiquitous in quantum information. They have diverse applications ranging from quantum network protocols to measurement based quantum computing. The hypergraph states are a generalization of graph states, a well-known family of entangled multi-qubit quantum states. We can map these states to qudit states. In this work, we analyze a number of noisy quantum channels for qudits, on the family of qudit hypergraph states. The channels studied are the dit-flip noise, phase flip noise, dit-phase flip noise, depolarizing noise, non-Markovian Amplitude Damping Channel (ADC), dephasing noise, and depolarization noise. To gauge the effect of noise on quantum hypergraph states, the fidelity between the original and the final states is studied. The change of coherence under the action of noisy channels is also studied, both analytically and numerically.

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“…The possibility of non-relativistic symmetries in a gravitational background was perhaps first noticed by Cartan [4], [5], who developed a covariant geometrical theory of Newtonian gravitation some time after Einstein formulated his general theory of relativity. The corresponding Newton-Cartan (NC) manifold has a degenerate metric structure and the elements of NC geometry are used to couple the matter sector, be it particles [6,7,8,9,10], extended objects or fields [11,12], with non-relativistic (NR) gravity. This geometrical approach has brought a resurgence in this field of research leading to various applications in condensed matter systems, hydrodynamics, particle physics and cosmology.…”

Section: Introductionmentioning

confidence: 99%

Covariant Formulation of the Newton-Hooke Particle and its Canonical Analysis

Banerjee

2021

Preprint

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A covariant formulation for the Newton-Hooke particle is presented by following an algorithm developed by us [1,2,3]. It naturally leads to a coupling with the Newton-Cartan geometry. From this result we provide an understanding of gravitation in a Newtonian geometric background. Using Dirac's constrained analysis a canonical formulation for the Newton-Hooke covariant action is done in both gauge independent and gauge fixed approaches. While the former helps in identifying the various symmetries of the model, the latter is able to define the physical variables. From this analysis a path to canonical quantisation is traced and the Schroedinger equation is derived which is shown to satisfy various consistency checks. Some consequences of this equation are briefly mentioned.

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Quantum blockchain using weighted hypergraph states

Cited by 28 publications

References 22 publications

Anonymous voting scheme using quantum assisted blockchain

Anonymous voting scheme using quantum assisted blockchain

Quantum Hypergraph States in Noisy Quantum Channels

Covariant Formulation of the Newton-Hooke Particle and its Canonical Analysis

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