The Quantum Threshold Theorem for Local Noise
Level Reduction and the Quantum Threshold Theorem
... to theorem 1, any physical noise operation, N , acting on H S can be described in terms of its Kraus operators, {M k }, which are subject to the constraint P k M k † M k = I S ...Since quantum ...
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Threshold characteristics and intensity fluctuations of lasers with excess quantum noise
... appropriate quantum theory to describe ex- cess quantum noise fluctuations is troubled by some concep- tual ...excess noise arises in open-sided sys- tems since the open character leads to ...
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Quantum fluctuation theorem for error diagnostics in quantum annealers
... term quantum hardware promises unprecedented computational ...the quantum fluctuation theorem to benchmark the accuracy of quantum ...the quantum dynamics are unital, unitary, and ...
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Quantum noise limited interferometry
... Lock was acquired by firstly turning on the 51kHz dither and the lock-in amplifier system so that the Michelson was driven towards a dark fringe at the antisymmetric output port. It was necessary to use a very low gain ...
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Shot noise of a quantum shuttle
... shot noise in quantum nanoelectromechanical ...a quantum shuttle, and the zero-frequency noise, measured by the Fano factor F, is ...the quantum limit, confirming that shuttling is ...
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Exchange fluctuation theorem for correlated quantum systems
... with local temperatures and global correlations, and provides only the relative likelihood of seeing one forward thermodynamic process compared to its reverse—not whether it occurs at ...
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A Trotter-Kato theorem for quantum Markov limits
... 4.1 Epilogue After completion of this work, the authors became aware of the book by W. von Waldenfels [] which gives a complete resolvent analysis of the Chebotarev-Gregoratti-von Walden- fels Hamiltonian, and in the ...
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Device-independent quantum reading and noise-assisted quantum transmitters
... In quantum reading, a quantum state of light (transmitter) is applied to read classical ...of noise or for sufficiently weak signals, quantum reading can outperform classical read- ing by ...
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Quantum Error Correction with Biased Noise
... a local stochas- tic biased noise model, which distinguishes between two groups of ...the local stochastic condition, which says that the sum of the probabilities for all fault paths with r dephasing ...
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Noise resilience of variational quantum compiling
... Figure 7 (top, b) plots the VQC results for Toffoli with V ( ) a given by two layers of the alternating-pair ansatz. In this case, C HST and C LHST converge to values which are smaller than the ones obtained in the ...
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High-Threshold Fault-Tolerant Quantum Computation with Analog Quantum Error Correction
... σ 2 p;C → σ 2 p;C þ σ 2 q;T ; ð19Þ σ 2 p;T → σ 2 p;T þ σ 2 q;C ; ð20Þ where σ 2 q;C ðσ 2 q;T Þ and σ 2 p;C ðσ 2 p;T Þ are the variance of the control and target qubits in the q and p quadratures, respectively. On the ...
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A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
... Recent developments After the author completed the research presented in this paper, several devel- opments occurred. 1. Together with ˇSpalek and de Wolf [7], we have used the methods from this paper to prove a direct ...
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Interpolation approach to Hamiltonian-varying quantum systems and the adiabatic theorem
... H(t) = H + f (t)(H – H ) = H + λf (t)H, () with f () = and f (T ) = . We work under the condition that a valid perturbative analysis of the system evolution is available. This often means λ should be smaller ...
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Threshold cryptography with Chinese remainder theorem
... Asmuth-Bloom Secret Sharing Scheme The Asmuth-Bloom secret sharing scheme is proposed by Asmuth and Bloom in 1983. Let n be the number of total users and t be the threshold, i.e., the size of the smallest ...
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Bayes' theorem and quantum retrodiction
... This is in agreement with our previous work in which Bayes' theorem was applied to analyse a single imperfect photodetector [5]. Our second example is the measurement method of projection synthesis [13]. This ...
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Quantum shot noise
... wire. At Iow currents, the black curve shows the noise satu- rate at the level set by the temperature of 0.3 K. Otherwise, the linear relation between noise power and current is the sign[r] ...
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Quantum copying: Beyond the no-cloning theorem
... a quantum state |si of a particular system which we would like to ...a quantum copy- ing machine, which at its output will give us |si a back and, in addition, a copy, ...the quantum state ...same ...
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Neural field models with threshold noise
... such threshold noise without recourse to averaging and show that spatial correlations can have a strong effect on the behaviour of waves and patterns in con- tinuum ...the noise strength. From this ...
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Compartmented Threshold RSA Based on the Chinese Remainder Theorem
... The threshold secret sharing schemes based on the Chinese remainder theorem can be used in order to decrease the size of shares, maintaining, at the same time, a reasonable level of ...
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3 The Local Ratio Theorem
... The Local Ratio Theorem, which is given below, allows us to go beyond localized payments by focusing on the changes in the weight function, and treating these changes as weight functions in their own ...the ...
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