The Wilsonian Revolution in Statistical Mechanics and Quantum
... The general theme in the previous section was that systems exhibiting well-separated scales were amenable to different effective descriptions at different scales. Such a result does not immediately seem applicable to gapless systems with degrees of freedom at continuously varying energy scales. However ...
... The general theme in the previous section was that systems exhibiting well-separated scales were amenable to different effective descriptions at different scales. Such a result does not immediately seem applicable to gapless systems with degrees of freedom at continuously varying energy scales. However ...
Quantum entanglement, topological order, and tensor category theory
... • All SRE states belong to the same trivial phase • LRE states can belong to many different phases = different patterns of long-range entanglements defined by the LU trans. = different topological orders Wen 1989 → A classification by tensor category theory Levin-Wen 05, Chen-Gu-Wen 2010 ...
... • All SRE states belong to the same trivial phase • LRE states can belong to many different phases = different patterns of long-range entanglements defined by the LU trans. = different topological orders Wen 1989 → A classification by tensor category theory Levin-Wen 05, Chen-Gu-Wen 2010 ...
Quantum state majorization at the output of bosonic Gaussian
... A large part of quantum communication theory is devoted to the transmission of electromagnetic radiation via bosonic Gaussian channels [4, 6–8]. The latter are formally defined as completely positive and trace preserving operations mapping Gaussian input states into Gaussian output states. The most ...
... A large part of quantum communication theory is devoted to the transmission of electromagnetic radiation via bosonic Gaussian channels [4, 6–8]. The latter are formally defined as completely positive and trace preserving operations mapping Gaussian input states into Gaussian output states. The most ...
Zhang - Department of Computer Science and Engineering, CUHK
... polynomial threshold function thr(f) = O(n1/2)? • Recall that we have O(n1/2)-time quantum algorithm for any AND-OR-NOT formula • Now (roughly): thr(f) ≤ Q(f) ≤ n1/2 • This implies that formulas are learnable in time 2√n. (Matching the known lower bound.) *1: A. Klivans, R. Servedio, STOC’01; A. Kli ...
... polynomial threshold function thr(f) = O(n1/2)? • Recall that we have O(n1/2)-time quantum algorithm for any AND-OR-NOT formula • Now (roughly): thr(f) ≤ Q(f) ≤ n1/2 • This implies that formulas are learnable in time 2√n. (Matching the known lower bound.) *1: A. Klivans, R. Servedio, STOC’01; A. Kli ...
PPT
... The spin relaxation depends on THREE major factors: 1. Moving velocity, reflected by Doppler effect 2. Magnetic field, determining the original Zeeman splitting 3. Quantum confinement, causing the phonon bottleneck effect ...
... The spin relaxation depends on THREE major factors: 1. Moving velocity, reflected by Doppler effect 2. Magnetic field, determining the original Zeeman splitting 3. Quantum confinement, causing the phonon bottleneck effect ...
Gauge-Gravity Duality and the Black Hole Interior
... so our average must be at least Oð1Þ. We exclude the possibility that (1) is dominated by a small number of highly excited states, with the rest unexcited, by considering ð1 P0 Þ in place of Na , where P0 projects onto Na ¼0. Since the operators for orthogonal modes approximately commute, this arg ...
... so our average must be at least Oð1Þ. We exclude the possibility that (1) is dominated by a small number of highly excited states, with the rest unexcited, by considering ð1 P0 Þ in place of Na , where P0 projects onto Na ¼0. Since the operators for orthogonal modes approximately commute, this arg ...
here
... Trivial insulator ( d < d ): No level crossing occurs as a function of B, and for a fixed Fermi energy E in the tures will reenter the quan- (a) B ¼ 0 gap, the Hall conductance s is always zero. ( b) Quantum spin Hall insulator with d > d : There is a crossing at some critical field B ¼ B , and for ...
... Trivial insulator ( d < d ): No level crossing occurs as a function of B, and for a fixed Fermi energy E in the tures will reenter the quan- (a) B ¼ 0 gap, the Hall conductance s is always zero. ( b) Quantum spin Hall insulator with d > d : There is a crossing at some critical field B ¼ B , and for ...
A violation of the uncertainty principle implies a violation of the
... any features commonly associated with quantum physics, such as the uncertainty principle1 or nonlocality2, appear highly counter-intuitive at first sight. The fact that quantum mechanics is more non-local than any classical theory2, but yet more limited3,4 than what the no-signalling principle alone ...
... any features commonly associated with quantum physics, such as the uncertainty principle1 or nonlocality2, appear highly counter-intuitive at first sight. The fact that quantum mechanics is more non-local than any classical theory2, but yet more limited3,4 than what the no-signalling principle alone ...
