Types of Measurements in Quantum Theory| Types of Measurements in Quantum Theory |
In General
> s.a. entanglement; foundations; locality;
uncertainty relations; Weak Measurements.
* Idea:
Measurements can be demolishing or non-demolishing.
* Quantum suicide: A self-referential
quantum measurement, also known as the "quantum Russian roulette".
@ General references: Cini NCB(83),
Zhou et al qp/01 [no collapse];
D'Ariano et al JPA(05)qp/04 [mixed and pure];
Sciarrino et al PRL(06)qp/05 [minimal disturbance];
Heinosaari & Wolf JMP(10)-a1005 [non-disturbing];
Tkachenko a1907 [minimalistic model];
Gudder a2009 [non-disturbing].
@ Protective measurements: Aharonov et al PRA(93) [comment Rovelli ht/93],
FP(96);
Anandan gq/95 [and collapse];
Hari Dass & Qureshi PRA(99);
Uffink PRA(99)qp;
Vaidman a0801-en [rev];
> s.a. ψ-Ontic Quantum Theory.
@ Interaction-free measurements: Kwiat et al SA(96)nov;
Vaidman qp/96;
Luis & Sánchez-Soto PRA(99) [2-level atom];
Simon & Platzman PRA(00)qp/99;
Potting et al PRA(00)qp;
Vaidman FP(03)qp/01;
Cramer FP(06);
Sant'Anna & Bueno FPL(06) [with matter waves];
Vaidman a0801-en;
Angelo FP(09) [interpretation];
Cardoso et al a1501 [intuitive explanation];
Matsumoto a1606;
Zhuo et al PRA(18)-a1801 [they cannot be perfect];
Barroso & Bertolami a1911 [quantum field theory view];
> s.a. Schrödinger's Hat.
@ Non-demolishing measurements: Shimizu & Fujita in(93)qp/98;
Gleyzes et al Nat(07)qp/06,
Mashkevich qp/07 [of photon number];
Oi et al PRL(13)-a1207 [presence/absence of the vacuum in a quantum optical field].
@ Non-ideal measurements: Shimony PRD(74) [approximate];
Martens & de Muynck FP(90);
Audretsch & Mensky PRA(97)qp,
qp/98 [fuzzy, of energy];
Casher & Reznik PRA(00)qp/99 [and clocks];
Hofmann PRA(00) [noisy];
Grishanin & Zadkov qp/05 [fuzzy, soft].
@ Non-local measurements: Vaidman ht/93-proc,
Popescu & Vaidman PRA(94)ht/93 [and causality];
Dür & Cirac PRA(01)qp/00;
Vaidman PRL(03)qp/01 [instantaneous];
Lake a1505 [in relativistic quantum mechanics, review].
@ Partial measurements: Paraoanu EPL(11)-a1106 [generalized];
SciRep(12)-a1110 [sequential, extractable information and disturbance].
@ Generalized:
Yu & Percival PLA(02).
@ Quantum-enhanced measurements:
Braun & Martin a0902 [decoherence-enhanced].
@ Incompatible measurements:
Hradil & Summhammer JPA(00);
Wolf et al PRL(09)-a0905 [and other non-signaling theories];
Piacentini et al PRL(16)-a1508 [for a photon];
Addis et al PRA(16)-a1508 [dynamics, influence of quantum noise].
@ Types of systems: Kryukov FP(07)-a0704 [2-level];
Borsten et al a1912
[composite, impossible and non-signaling measurements].
@ Other topics: Ohira & Pearle AJP(88)aug [perfect disturbing];
Unruh NYAS(95)ht/94;
Mozyrsky & Privman MPLB(00)cm/99 [with heat bath and pointer modes];
Oppenheim et al JPA(02)qp/00 [time ordering of events];
Alter & Yamamoto 01 [single system];
Ćirković qp/04 [quantum suicide and the Principal Principle];
Heinonen PLA(05) [optimal];
Chiribella et al PRL(07) [continuous equivalent to discrete];
Marcella a0901 [unperformed];
Lundeen et al Nat(11)jun-a1112
+ news pw(11)jun [direct measurement of the wavefunction];
Pellonpää FP(14) [complete measurements];
Kim & Wu PLA(17)-a1511 [undoable measurements];
Gudder FP(19)-a1811 [state transformations and contexts].
Repeated Measurements
> s.a. dissipation; histories formulations [measurements
in spacetime]; uncertainty relations [entropic]; zeno effect.
@ General references: Busch et al FP(90);
Belavkin RJMP(95)mp/05 ["bubble chamber" model];
Presilla & Tanbini HI(98)cm/97-conf;
Prvanović & Marić NCB(99);
Gudder & Nagy JMP(01);
Attal & Pautrat mp/03
[continuum limit and quantum Langevin equation];
Anastopoulos FP(06)qp/05 [probabilities];
Cresser et al OC(06)qp [master equation];
Laura & Vanni IJTP(08)-a0801 [and conditional probabilities];
Glick & Adami a0911;
Shushin JPA(11)-a1011 [randomly distributed in time, and Zeno effect];
Sanz et al AP(12) [quantum shuffling and emergence of Zeno effect];
Distler & Paban PRA(13)-a1211 [and uncertainties];
Benoist et al CMP(17)-a1607 [entropy production];
Georgiev & Cohen a1709 [sequential weak measurements and Feynman histories];
Gherardini et al a1811-proc [open systems].
@ Continuous: Menskii TMP(88);
Belavkin & Staszewski PLA(89)qp/05,
PRA(92)qp/05;
Mensky PLA(90),
TMP(92),
PLA(97)qp/00,
IJTP(98)qp/00;
Staszewski & Staszewska PS(00) [of Gaussian];
Scott & Milburn PRA(01)qp/00;
Rembovsky PLA(02) [oscillator],
PLA(02);
Mensky PLA(03)qp/02,
qp/02-conf;
Mensky & Stenholm PLA(03)qp/02;
Jacobs & Steck CP(06)qp [intro];
Konrad et al NJP(10)-a0902 [monitoring the wave function];
Nassar a1001 [in Bohmian mechanics];
Bednorz et al NJP(12)-a1104 [non-classical time correlation functions];
Chantasri et al PRA(13)-a1305 [action principle];
Nassar & Miret-Artés PRL(13) [Bohmian mechanics framework, dividing line between the quantum and classical regimes];
Prosperi a1508
[and a classical level in quantum mechanics];
Chantasri & Jordan PRA(15)-a1507 [stochastic path integral formalism];
Genoni et al NJP(16)-a1605 [and wave function collapse, diffusion parameter];
Belenchia et al a1908 [entropy production].
@ And classical evolution:
Mensky PLA(91),
PLA(92)
[action uncertainty principle, deviation of results from classical ones];
Bhattacharya et al PRL(00)qp/99,
Ghose et al PRA(03)qp/02 [spin + motion degrees of freedom],
PRA(04)qp/03 [and classical chaos];
Richter PRA(07)qp/06 [speedup of classical mixing];
> s.a. decoherence; gravitation.
@ Over finite times:
Peres & Wootters PRD(85);
Micanek & Hartle PRA(96)qp [as Δt → 0];
Roig PRA(06) [position];
Anastopoulos & Savvidou JMP(07) [probabilities].
Types of Observables > s.a. observables.
@ Position: Squires FPL(90);
Mensky et al PLA(91)qp/97,
PRL(93)qp/97;
Presilla et al JPA(97)qp;
Liu & Sokolovski PRA(01),
Roig PRA(06)qp/05 [finite-time];
Harrell JMP(16)-a1601 [with an optical interferometer].
@ Time: Peres AJP(80)jul;
Gambini & Pullin FP(07)qp/06 [real rods and clocks and loss of unitarity];
news sn(20)oct [shortest intervalmeasured, 247 zs];
> s.a. clocks [timekeeping]; time
in quantum mechanics; zeno effect.
@ Energy: Aharonov et al PRA(02) [measurement, and H estimation];
Massar & Popescu PRA(05)qp/04 [by internal observer].
@ Conjugate observables, position and momentum:
Busch et al PLA(08)-a0804;
Di Lorenzo PRA(11) [correspondence principle];
Carmeli et al JPA(11)-a1105 [sequential measurements];
Kouri a1409-wd
[harmonic oscillators, simultaneous measurement and coherent states].
@ Other non-commuting variables: Martens & de Muynck FP(90) [joint inaccurate measurements];
Appleby IJTP(98)qp,
JPA(98)qp,
IJTP(99)qp/98,
JMO(99)qp/98 [retrodictive];
Trifonov et al PRL(01)qp/00 [minimum uncertainty, discrete];
Botero a0709;
Di Lorenzo PRA(11)-a1008 [strong correspondence principle];
Reeb et al JPA(13)-a1307 [coexistence vs joint measurability];
Ringbauer et al PRL(14)-a1308 [minimum uncertainty, photons].
@ Joint measurements: Stenholm AP(92),
Ozawa PLA(00) [simultaneous measurements];
Englert & Aharonov PLA(01)qp [precise values for complete set];
Lahti IJTP(03) [joint measurability];
Hall qp/05-AIP [estimates and uncertainties];
Andersson et al PRA(05),
Aquino & Mehmani qp/07-proc [non-commuting];
Heinosaari et al FP(08)-a0811;
Bußhardt & Freyberger PRA(10) [timing];
> s.a. Tsirelson's Problem.
@ Other types: Peres PRL(88) [magnetic flux, limitations];
Ozawa PRA(00) [discrete, non-degenerate];
Massar PRA(00)qp [on two spins];
Poulin PRA(05) [macroscopic, and state disturbance];
Carmeli et al IJTP(08) [unsharp];
Puentes et al PRL(09)-a0902 [detector with tunable POVMs];
Steinberg a1406-ln [in quantum optics experiments];
Engelhardt a1507 [irrational dynamical variables];
> s.a. pilot-wave theory [velocity].
Measurement-Related Effects > s.a. collapse of the
wave function; fock space; zeno effect.
@ General references:
Greenberger & YaSin FP(89);
Audretsch et al PRA(01) [unsharp measurements and visualization].
@ Quantum meters:
Clausen et al PRA(05).
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