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A notable application of quantum computation is for attacks on cryptographic systems that are currently in use. Integer factorization, which underpins the security of public key cryptographic systems, is believed to be computationally infeasible with an ordinary computer for large integers if they are the product of few prime numbers (e. g. , products of two 300-digit primes). By comparison, a quantum computer could efficiently solve this problem using Shor's algorithm to find its factors. This ability would allow a quantum computer to break many of the cryptographic systems in use today, in the sense that there would be a polynomial time (in the number of digits of the integer) algorithm for solving the problem. In particular, most of the popular public key ciphers are based on the difficulty of factoring integers or the discrete logarithm problem, both of which can be solved by Shor's algorithm. In particular, the RSA, Diffie–Hellman, and elliptic curve Diffie–Hellman algorithms could be broken. These are used to protect secure Web pages, encrypted email, and many other types of data. Breaking these would have significant ramifications for electronic privacy and security.


IBM News room - IBM Building Quantum Computers for ...
IBM News room - IBM Building Quantum Computers for ...
NASA Experts Available For Interviews About Quantum ...
NASA Experts Available For Interviews About Quantum ...
NASA, Google unveil a quantum computing leap | Computerworld
NASA, Google unveil a quantum computing leap | Computerworld
Quantum Computing and Conservation - Edge Effects
Quantum Computing and Conservation - Edge Effects
NASA's new Pleiades supercomputer — Parallax Forums
NASA's new Pleiades supercomputer — Parallax Forums
Quantum computing, CloudOps, smart home solutions and more ...
Quantum computing, CloudOps, smart home solutions and more ...
I want to build a Quantum Computer at home! – qbitrex
I want to build a Quantum Computer at home! – qbitrex
ASI Quantum Computing
ASI Quantum Computing
QUANTUM COMPUTING at Home for FREE! - YouTube
QUANTUM COMPUTING at Home for FREE! - YouTube
IBM's 50 Qubits Breakthrough Marks the Dawn of the Quantum ...
IBM's 50 Qubits Breakthrough Marks the Dawn of the Quantum ...
Inside Microsoft’s quantum computing world | InfoWorld
Inside Microsoft’s quantum computing world | InfoWorld
Google reaches quantum computing milestone with 53-qubit ...
Google reaches quantum computing milestone with 53-qubit ...
IBM, Exxon Mobil make quantum computing leap - Houston ...
IBM, Exxon Mobil make quantum computing leap - Houston ...
In first head-to-head speed test with conventional ...
In first head-to-head speed test with conventional ...
Quantum Computing is Getting Real | SIGARCH
Quantum Computing is Getting Real | SIGARCH
Google’s Quantum Computer Just Got a Big Upgrade | WIRED
Google’s Quantum Computer Just Got a Big Upgrade | WIRED
tquantumcomputing
tquantumcomputing
Quantum Computing Needs You to Help Solve Its Core Mystery ...
Quantum Computing Needs You to Help Solve Its Core Mystery ...
Why the age of quantum computing is nearer than you think ...
Why the age of quantum computing is nearer than you think ...
IBM presents new quantum computer with 53-Qubit CPU ...
IBM presents new quantum computer with 53-Qubit CPU ...
Georgia Tech Collaborates with IBM to Develop Software ...
Georgia Tech Collaborates with IBM to Develop Software ...
Robust Quantum Computers Still a Decade Away, Says Nat’l ...
Robust Quantum Computers Still a Decade Away, Says Nat’l ...
Workshop on Quantum Computing | A full-stack system ...
Workshop on Quantum Computing | A full-stack system ...
NAS Quantum Computing: Progress and Prospects — Report ...
NAS Quantum Computing: Progress and Prospects — Report ...
IBM to start selling quantum cloud computing to the masses ...
IBM to start selling quantum cloud computing to the masses ...
Quantum Computing | DHL | Singapore
Quantum Computing | DHL | Singapore
Performance of quantum computer no better than ordinary PC ...
Performance of quantum computer no better than ordinary PC ...
Quantum Computing OS Developed, Powerful PCs Coming Soon
Quantum Computing OS Developed, Powerful PCs Coming Soon
Google Debuts Software to Open Up Quantum Computers for ...
Google Debuts Software to Open Up Quantum Computers for ...
The 3 Types of Quantum Computers and Their Applications
The 3 Types of Quantum Computers and Their Applications
End of slow PCs? IBM creates super-fast quantum computer ...
End of slow PCs? IBM creates super-fast quantum computer ...
Quantum Computing And Quacee - khudek
Quantum Computing And Quacee - khudek
IBM Q brings the power of quantum computing to people who ...
IBM Q brings the power of quantum computing to people who ...
Five (5) Emerging Technology Trends in 2019 – Emerging ...
Five (5) Emerging Technology Trends in 2019 – Emerging ...
Quantum Computing Epoch - Home | Facebook
Quantum Computing Epoch - Home | Facebook
Quantum Computing: Progress and Prospects | The National ...
Quantum Computing: Progress and Prospects | The National ...
Yale Professors Race Google and IBM to the First Quantum ...
Yale Professors Race Google and IBM to the First Quantum ...
Quantum computer: We're planning to create one that acts ...
Quantum computer: We're planning to create one that acts ...
Physicists are working on ‘unbelievably fast’ quantum ...
Physicists are working on ‘unbelievably fast’ quantum ...
When Will We Have Quantum Computers? (Audio)
When Will We Have Quantum Computers? (Audio)
Why Google’s new quantum computer could launch an ...
Why Google’s new quantum computer could launch an ...
Quantum computing is here - Los Angeles Post-ExaminerLos ...
Quantum computing is here - Los Angeles Post-ExaminerLos ...
Is Google about to build the world’s first qubit? – Hacker ...
Is Google about to build the world’s first qubit? – Hacker ...
NASA@SC16: Explorations at the Frontier of Quantum Computing
[email protected]: Explorations at the Frontier of Quantum Computing
D-Wave debuts new 5,000-qubit quantum computer - SiliconANGLE
D-Wave debuts new 5,000-qubit quantum computer - SiliconANGLE
Microsoft’s new quantum computing lab in Delft opens its ...
Microsoft’s new quantum computing lab in Delft opens its ...
Microsoft wants to turn quantum computing research into ...
Microsoft wants to turn quantum computing research into ...
Quantum Computer Passes Math Test, But Doesn’t Answer the ...
Quantum Computer Passes Math Test, But Doesn’t Answer the ...
Quantum computing breakthrough could help bring technology ...
Quantum computing breakthrough could help bring technology ...
Qualcomm Aims for Quantum AI Chips – NextBigFuture.com
Qualcomm Aims for Quantum AI Chips – NextBigFuture.com