Shor s nine qubit code
SpletShor's Algorithm. Shor’s algorithm is famous for factoring integers in polynomial time. Since the best-known classical algorithm requires superpolynomial time to factor the product of two primes, the widely used cryptosystem, RSA, relies on factoring being impossible for large enough integers. In this chapter we will focus on the quantum part ... SpletShor's 9 qubit code The well-known Shor's 9 qubit code can correct any single Pauli error, but it can also correct some other kinds of errors. Its circuit is shown as below which can be constructed by the following code
Shor s nine qubit code
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Splet25. avg. 2024 · What is the Shor Code? Circuit Diagram of the Shor Code The Shor code is a 9 qubit circuit that requires 8 ancillary qubits to correct 1 qubit. For simplification we will … Splet03. sep. 2024 · The only part of Shor's algorithm which uses a quantum computer is the order finding subroutine. Given an integer x = 1, …, N − 1 it computes the order r of x …
Spletspectacular instance of this is Shor’s discovery of an algorithm to factor num- bers on a quantum computer in a polynomial time in the number of digits [3]. Another impressive … Splet01. feb. 2012 · We encode a quantum state 3, 4, induce errors on the qubits and decode the error syndrome—a quantum state indicating which error has occurred—by reversing the encoding process. This syndrome is...
Splet29. apr. 2024 · QC Theory Lecture 26 Quantum Error Correction (Part III: 9-qubit Shor code) - YouTube This is the final video on QEC. Around 4:18 I say "decoding", but it should be "encoding". So we draw... SpletShor's 9 qubit code. The well-known Shor's 9 qubit code can correct any single Pauli error, but it can also correct some other kinds of errors. Its circuit is shown as below which can …
SpletIn a video lecture Peter Shor explains his 9-qubit error correcting code, and builds gradually: 3-qubit repetition code to correct (X-errors) bit flip errors Demonstrating that (Z-errors) …
Splet01. jul. 1998 · To implement Shor's qubit code using only linear operations would require 2 9 = 512 channels and exponentially many more components 12. By contrast, the code described here uses nine... leeds city council garden wasteSpletIn general, an 𝑛𝑛-qubit code, protecting against single-qubit bit-flips requires . 2. 𝑛𝑛. ≥2(1+𝑛𝑛) This is why 𝑛𝑛≥3 is needed for bit-flips. Hilbert space (1+ 𝑛𝑛) 2D subspaces for 𝑛𝑛possible errors. For … how to extract messages from messengerSplet17. feb. 2024 · In particular, our parallel scheme based on Shor's nine-qubit code performs better than known seven- and nine-qubit schemes in the literature. 3 More Received 20 … how to extract membrane proteinsSpletknown nine-qubit code schemes in the literature. In [19], ... [9,1,3]] Bacon-Shor code using only four ancilla qubits, called Bacon-Shor-13 and they showed this scheme outperforms a scheme based on the [[9,1,3]] surface codes using eight ancilla qubits. From the cir-cuit design, one can observe that Bacon-Shor-13 performs leeds city council green binSpletShor’s idea was simple and elegant: use nine physical qubits to encode one logical qubit as shown in ... Soon after Shor’s code, how to extract messages in teamsSplet18. apr. 2016 · Distance of a Stabilizer code ( S) is defined by minimum weight of an element in N ( S) − S . Why 9 qubit Shor code has distance 3? Is there a way to directly … how to extract metadata from a photoSplet31. mar. 2024 · The logical basis states of the Shor’s 9-qubit code are given by 0 L = ( 000 + 111 ) ( 000 + 111 ) ( 000 + 111 ) 2 2, 1 L = ( 000 − 111 ) ( 000 − 111 ) ( 000 − … how to extract materia ff14