Quantum Computing Devices Quantum Bits
... If M1 and M2 are 2 x 2 matrices that describe unitary quantum gates, then it is easy to verify that the joint actions of M1 of the first qubis and M2 on the second are described by M1 ⊗ M2 This generalize to quantum systems of any size If matrices M1 and M2 define unitary mappings on Hilbert soace ...
... If M1 and M2 are 2 x 2 matrices that describe unitary quantum gates, then it is easy to verify that the joint actions of M1 of the first qubis and M2 on the second are described by M1 ⊗ M2 This generalize to quantum systems of any size If matrices M1 and M2 define unitary mappings on Hilbert soace ...
a presentation of Michel from 2009
... by doing imperfect measurements and by using converging sequences of “fault-tolerant”, but imperfect, gates one can continuously protect the grand wavefunction from the random drift of its 10300 amplitudes and moreover make these amplitudes change in a precise and regular manner needed for quant ...
... by doing imperfect measurements and by using converging sequences of “fault-tolerant”, but imperfect, gates one can continuously protect the grand wavefunction from the random drift of its 10300 amplitudes and moreover make these amplitudes change in a precise and regular manner needed for quant ...
“Quantum Computing: Dream or Nightmare”, Physics Today, 49, 51
... they will say, concluding that there is no clear limit to what technology and money can do. But this view assumes that t and T can be tuned independently, in opposite directions. That is, however, not true for any system known today. The physical interaction that couples the qubits together adds its ...
... they will say, concluding that there is no clear limit to what technology and money can do. But this view assumes that t and T can be tuned independently, in opposite directions. That is, however, not true for any system known today. The physical interaction that couples the qubits together adds its ...
Precisely Timing Dissipative Quantum Information
... conditioned on previous steps, it is not clear how to ‘‘stop preparing’’ a state, and it is far from clear how to incorporate error correction into any such scheme. In this work, we open up new perspectives for dissipative quantum information processing by introducing and analyzing a number of dissi ...
... conditioned on previous steps, it is not clear how to ‘‘stop preparing’’ a state, and it is far from clear how to incorporate error correction into any such scheme. In this work, we open up new perspectives for dissipative quantum information processing by introducing and analyzing a number of dissi ...
CS286.2 Lectures 5-6: Introduction to Hamiltonian Complexity, QMA
... Theorem 11. (Kempe-Kitaev-Regev) 2 − LHa,b is QMA-complete for some a = 2− poly(n) and b = 1/ poly(n). The first result along these lines came from Kitaev, who showed that 5 − LH is QMA-complete. We shall show a slightly weaker version of the theorem, which will contain all the key ideas: Theorem 12 ...
... Theorem 11. (Kempe-Kitaev-Regev) 2 − LHa,b is QMA-complete for some a = 2− poly(n) and b = 1/ poly(n). The first result along these lines came from Kitaev, who showed that 5 − LH is QMA-complete. We shall show a slightly weaker version of the theorem, which will contain all the key ideas: Theorem 12 ...
Quantum computing with nanoscale infrastructure
... with the title There’s Plenty of Room at the Bottom in which he pointed to the possibility of manipulating the quantum behaviour of single atoms. This is exactly what is done today, fifty years later, in ion trap quantum ‘computers’. In ion traps, a few research groups in the world are able to colle ...
... with the title There’s Plenty of Room at the Bottom in which he pointed to the possibility of manipulating the quantum behaviour of single atoms. This is exactly what is done today, fifty years later, in ion trap quantum ‘computers’. In ion traps, a few research groups in the world are able to colle ...
Lecture 16: Quantum error correction Classical repetition codes
... matrix would be to |ψi hψ|, but this would be too much of a digression at this point in the course.) ...
... matrix would be to |ψi hψ|, but this would be too much of a digression at this point in the course.) ...
Preskill-PMAChairsCouncil7dec2009
... but there are complementary ways to observe a quantum bit (like the polarization of a single photon). Thus correlations among qubits are richer and much more interesting than correlations among classical bits. • A quantum system with two parts is entangled when its joint state is more definite and l ...
... but there are complementary ways to observe a quantum bit (like the polarization of a single photon). Thus correlations among qubits are richer and much more interesting than correlations among classical bits. • A quantum system with two parts is entangled when its joint state is more definite and l ...
- Harish-Chandra Research Institute
... Any physical process that bleaches out the original information is called “Hiding”. If we start with a “pure state”, this bleaching process will yield a “mixed state” and hence the bleaching process is “Non-Unitary”. However, in an enlarged Hilbert space, this process can be represented as a “unitar ...
... Any physical process that bleaches out the original information is called “Hiding”. If we start with a “pure state”, this bleaching process will yield a “mixed state” and hence the bleaching process is “Non-Unitary”. However, in an enlarged Hilbert space, this process can be represented as a “unitar ...
in PPT
... E ( A, B) P(a b) P(a b) S E ( A, B) E ( A' , B) E ( A, B' ) E ( A' , B' ) 2 ...
... E ( A, B) P(a b) P(a b) S E ( A, B) E ( A' , B) E ( A, B' ) E ( A' , B' ) 2 ...
Lecture 2: Quantum Math Basics 1 Complex Numbers
... did when we imagined the two-dimensional complex plane in the previous section. Then, why do we even use complex numbers at all? Well, there are two major reasons: firstly, complex phases are intrinsic to many quantum algorithms, like the Shor’s Algorithm for prime factorization. Complex numbers ca ...
... did when we imagined the two-dimensional complex plane in the previous section. Then, why do we even use complex numbers at all? Well, there are two major reasons: firstly, complex phases are intrinsic to many quantum algorithms, like the Shor’s Algorithm for prime factorization. Complex numbers ca ...
