We study locality preserving automorphisms of operator algebras on D -dimensional uniform lattices of prime p -dimensional qudits quantum cellular automata (QCAs), specializing in those that are translation invariant (TI), and map every prime p -dimensional Pauli matrix to a tensor product of ...
^Daniel Gottesman. The Heisenberg Representation of Quantum Computers.https://arxiv.org/abs/quant-ph/9807006 ^abcMichael A. Nielsen, Isaac L. Chuang. Quantum Computation and Quantum Information. Chap10.5.http://libgen.rs/book/index.php?md5=AE6DCD6041531283E0C892C19A30B27E ^Scott Aaronson, Dan...
Quantum systems provide a new way of conducting computations based on the so-called qubits. Due to the potential for significant speed-ups, this field rece
a circuit implementation of the Clifford. Return type QuantumCircuit References S. Bravyi, D. Maslov,Hadamard-free circuits expose the structure of the Clifford group,arXiv:2003.09412 [quant-ph] S. Aaronson, D. Gottesman,Improved Simulation of Stabilizer Circuits, Phys. Rev. A 70, 052328 (2004...
2011.The Physics Book: From the Big Bang to Quantum Resurrection. Sterling. 2012.The Medical Book: From Witch Doctors to Robot Surgeons. Sterling. 2012.Brain Strain: A Mental Muscle Workout That's Fun!. Cricket Media. 2013.The Book of Black: Black Holes, Black Death, Black Forest Cake ...
than-Clifford purification simulation technique, which is discussed at length in section “Faster simulation of entanglement circuits”. We end this paper with concluding remarks on applicability to more general quantum networking problems and a number of problems that now become much easier to tackle....
We focus on the group B2 as that is the set of operations typically available in a quantum computer (i.e., two-qubit gates). We can observe that {g⏟Alice⊗g⏟Bob|g∈C2∗}⊂B2∗ and that they are of equal size. This simple counting argument gives us B2∗=Sp(4,F2)=...
qiskit.quantum_info.random_clifford random_clifford(num_qubits, seed=None)GitHub Return a random Clifford operator. The Clifford is sampled using the method of Reference [1]. Parameters num_qubits (int)– the number of qubits for the Clifford seed (int or np.random.Generator)– Optional. Set...
2 Finiteness of General Quantum Field Theories The starting point of our considerations is the most general [18] renormalizable quantum field theory (for particles up to spin 1 ) invariant with respect to gauge transformations forming some compact simple Lie group G with corresponding Lie algebra...
The fault-tolerant quantum logic is used to contain error rate below threshold which needs transversal quantum operators. On the other hands, due to much difference the Boolean logic is no more useful in quantum computing. However, the quantum computer has to perform both classical solvable as ...