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Fast Quantum Byzantine Agreement: Difference between revisions
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*<math>d:</math> the agreement value at the end of the protocol | *<math>d:</math> the agreement value at the end of the protocol | ||
== | ==Requirements== | ||
*Network stage: [[:Category: Quantum Computing Network Stage|(Fault-tolerant) Quantum computing network stage]][[Category:Quantum Computing Network Stage]] | *Network stage: [[:Category: Quantum Computing Network Stage|(Fault-tolerant) Quantum computing network stage]][[Category:Quantum Computing Network Stage]] | ||
*Relevant network stage parameters: Required number of qubits <math>q</math>. | *Relevant network stage parameters: Required number of qubits <math>q</math>. | ||
*Benchmark values: The number of qubits <math>q</math> required is precisely known for a finite instance of the protocol. This is calculated in [[Quantum Byzantine Agreement#References|(1)]] for <math>n = 5</math>. They pick the smallest possible security parameter <math>k = 2</math> (of the VQSS scheme) and start calculating the required resources. Summarising they find that each node requires <math>\sim 200</math> operational qubits, on which quantum circuits of depth <math>\sim 2000</math> must be run. The consumed number of Bell pairs is 648 and the total classical communication cost is 21240 bits. It is not entirely clear if these are the expected costs or the cost per round. | *Benchmark values: The number of qubits <math>q</math> required is precisely known for a finite instance of the protocol. This is calculated in [[Quantum Byzantine Agreement#References|(1)]] for <math>n = 5</math>. They pick the smallest possible security parameter <math>k = 2</math> (of the VQSS scheme) and start calculating the required resources. Summarising they find that each node requires <math>\sim 200</math> operational qubits, on which quantum circuits of depth <math>\sim 2000</math> must be run. The consumed number of Bell pairs is 648 and the total classical communication cost is 21240 bits. It is not entirely clear if these are the expected costs or the cost per round. | ||
*In more asymptotic sense it is known that the required number of qubits per node grows rapidly with the number of nodes <math>n</math>, making it therefore, demanding on qubit requirements. | *In a more asymptotic sense, it is known that the required number of qubits per node grows rapidly with the number of nodes <math>n</math>, making it, therefore, demanding on qubit requirements. | ||
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[[File:Slide3.PNG]] | |||
==Properties== | ==Properties== | ||