Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory | Paper Citation Record

Observation bb445615-d9f5-43c3-a063-ab6cb0c588cd · outbound

This paper cites ∂ρθ ∂θi =ρθLR,i (θ).

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory ∂ρθ ∂θi =ρθLR,i (θ)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.230378Z

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Observation be6a1d19-b701-45e9-93fc-c938f02e76fb · outbound

This paper cites ∂ρθ ∂θi = 1 2[ρθLS,i (θ) +LS,i (θ)ρθ].

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory ∂ρθ ∂θi = 1 2[ρθLS,i (θ) +LS,i (θ)ρθ]

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.216644Z

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Observation 372100bb-c7b6-4b7a-b787-db0522c8bc52 · outbound

This paper cites We can show that this holds for Model 1 and Model 2.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory We can show that this holds for Model 1 and Model 2

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.203425Z

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Observation 26d8b495-338d-4cc9-8e18-f33874c63647 · outbound

This paper cites where G−1 S (θ) = [gSij(θ)].

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory where G−1 S (θ) = [gSij(θ)]

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.190555Z

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Observation 105f2894-7a69-48e4-bcff-0fe78c28201d · outbound

This paper cites an unresolved cited work.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 5

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Observation 7d000be4-0a8e-4fc7-ab96-0a162ee972dc · outbound

This paper cites We consider that we have them act on the LLL, ψ00(x,y ).

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory We consider that we have them act on the LLL, ψ00(x,y )

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.164796Z

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Observation e9a7100b-9fd4-4e19-a97e-60a5b00f9119 · outbound

This paper cites We can show that the SLD’s commute on the support of the states and that the SLD C-R bound is achievable [30].

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory We can show that the SLD’s commute on the support of the states and that the SLD C-R bound is achievable [30]

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.151186Z

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Observation dc242ce5-76af-421a-9c14-01ac8b92c90d · outbound

This paper cites Then, the inverse of SLD Fisher information matrix (Gπ S)−1 is calculated in B 2 b as (Gπ S)−1 = λ2 4 ( 1 0 0 1 ).

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Then, the inverse of SLD Fisher information matrix (Gπ S)−1 is calculated in B 2 b as (Gπ S)−1 = λ2 4 ( 1 0 0 1 )

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.137756Z

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Observation a618513b-2293-427b-aca9-55437bad68e7 · outbound

This paper cites an unresolved cited work.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:48:51.886572Z

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Observation 3dad5601-f49b-4dd7-9ca1-bc656febf86f · outbound

This paper cites At ﬁrst sight, this diﬀerence in estimation accuracy might puzzle us, since two models displace the same amount in the position.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory At ﬁrst sight, this diﬀerence in estimation accuracy might puzzle us, since two models displace the same amount in the position

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.110008Z

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Observation 4169969f-b900-485f-8482-824d6a1d0186 · outbound

This paper cites We introducegRij and gSij such that (Gp thermal R )−1 = [gR ij], (42) (Gp thermal S )−1 = [gS ij].

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory We introducegRij and gSij such that (Gp thermal R )−1 = [gR ij], (42) (Gp thermal S )−1 = [gS ij]

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.096547Z

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Observation 89f13dea-e5c0-407e-9af6-a5aafa28c568 · outbound

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 12

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Observation deee4d4d-1932-443a-94bb-7fa665aad9d2 · outbound

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 13

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Observation 1ecab9db-b857-4f8b-9943-ef90ad03af40 · outbound

This paper cites (18), we obtain the SLD C-R bound as follows.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory (18), we obtain the SLD C-R bound as follows

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.055554Z

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Observation 5dfa906f-d150-4790-97bb-238abae63ef6 · outbound

This paper cites However, the bound for Model 1 has a complicated structure as shown in Fig.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory However, the bound for Model 1 has a complicated structure as shown in Fig

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.041191Z

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Observation f4259bf1-270b-4e3a-a3bc-150c8f525cf6 · outbound

This paper cites Since the generators,πx andπy consist ofa, a† only [Eq.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Since the generators,πx andπy consist ofa, a† only [Eq

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.123882Z

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Observation 21a070ba-1026-4903-bdcc-2308e474d1ad · outbound

This paper cites First, Model 1 with the pure state as the reference state, the C-R bound has a quasi-classical feature.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory First, Model 1 with the pure state as the reference state, the C-R bound has a quasi-classical feature

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.027158Z

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Observation cbc7b712-3fa3-4150-8ecc-035bb4929a5c · outbound

This paper cites However, the optimal measurement to attain the quantum C-R bound may not be feasible in such a system.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory However, the optimal measurement to attain the quantum C-R bound may not be feasible in such a system

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:52.013334Z

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Observation 7685915b-90f3-4c3a-bafd-f8526b342583 · outbound

This paper cites Let ( Gθ)−1 be (Gθ)−1 = [gθ ij], (A2) The RLD C-R inequality (A1) holds iﬀ tr [Vθ− (Gθ)−1]≥ 0 and det [Vθ− (Gθ)−1]≥ 0.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Let ( Gθ)−1 be (Gθ)−1 = [gθ ij], (A2) The RLD C-R inequality (A1) holds iﬀ tr [Vθ− (Gθ)−1]≥ 0 and det [Vθ− (Gθ)−1]≥ 0

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.999506Z

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Observation 88c7b8b8-4c5f-40bd-a052-019492c5b307 · outbound

This paper cites T is temperature.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory T is temperature

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.985453Z

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Observation 8215bb6a-f55e-4e4f-94e1-84d5146b0f05 · outbound

This paper cites Since px and py commute, e−iθ1pxe−iθ2py = e−iθ1px−iθ2py = e 1 2λ{(a†−a)+(b†−b)}θ1}− i 2λ{(a†+a)−(b†+b)}θ2.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Since px and py commute, e−iθ1pxe−iθ2py = e−iθ1px−iθ2py = e 1 2λ{(a†−a)+(b†−b)}θ1}− i 2λ{(a†+a)−(b†+b)}θ2

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.971460Z

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Observation 17de54ce-0d9b-4074-b6d5-6844a54486dd · outbound

This paper cites Let Model 1 SLD and Model 1 RLD of Model 1 be L(1) S,j (θ) and L(1) R,j (θ), respectively.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Let Model 1 SLD and Model 1 RLD of Model 1 be L(1) S,j (θ) and L(1) R,j (θ), respectively

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.956363Z

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Observation 34eb0a77-5c8a-4279-81c6-82d34da47ae3 · outbound

This paper cites Then, LS,i is expressed as [21], LS,i = 2∂iρθ = 2∂i(|ψθ⟩⟨ψθ|).

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Then, LS,i is expressed as [21], LS,i = 2∂iρθ = 2∂i(|ψθ⟩⟨ψθ|)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.941601Z

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 24

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 25

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Observation 91ab1e52-67d5-4e27-afbf-39ad96fb4771 · outbound

This paper cites Braunstein, C.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Braunstein, C

Reference 26

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Observation 1b2e1032-b082-41bc-b846-83d0720b476d · outbound

This paper cites Nagaoka, in Surikagaku, no.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Nagaoka, in Surikagaku, no

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.901501Z

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Observation 91a0da1b-b12d-4f0d-ae55-072411c31b3d · outbound

This paper cites Gibilisco, H.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Gibilisco, H

Reference 28

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Observation 1dd95498-4f22-48e1-9cf4-ba9b2b1c42b0 · outbound

This paper cites Watanabe, T.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Watanabe, T

Reference 29

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.361408Z

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Reference 30

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.347749Z

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Reference 31

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.333383Z

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Observation f7bcf4d8-b443-421f-b68f-3cccf08ca713 · outbound

This paper cites Ozawa, Phys.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Ozawa, Phys

Reference 32

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Observation 4f990389-d8e3-4561-9e14-5505b07d6d52 · outbound

This paper cites Ozawa, Phys.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Ozawa, Phys

Reference 33

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Observation 30795d1b-2959-4069-ad9f-ea5d9a1e0a37 · outbound

This paper cites Wehner and A.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Wehner and A

Reference 34

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.295556Z

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 35

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Observation c1c768e5-56ed-40f1-88d2-ffdad05735f4 · outbound

This paper cites Albarelli, M.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Albarelli, M

Reference 36

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 37

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Observation 1d0fdfee-91e1-4131-aff2-75c66c174da3 · outbound

This paper cites Multi-parameter estimation beyond Quantum Fisher Information.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Multi-parameter estimation beyond Quantum Fisher Information

Reference 38

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Observation eaaec590-55ab-41ad-90ef-5985807a4e26 · outbound

This paper cites Heisenberg, Zeitschr.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Heisenberg, Zeitschr

Reference 39

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 40

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Observation 40dbdf23-b630-4445-8bd8-c6ebccd4b2a0 · outbound

This paper cites Johnson and B.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Johnson and B

Reference 41

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.255525Z

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Reference 42

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Observation b75a4cfb-a9fc-46ba-b4ac-a8691c02a890 · outbound

This paper cites Fujiwara, H.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Fujiwara, H

Reference 43

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.240624Z

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Observation 5613ae6f-cf6f-4a0d-b8fa-91df7a47f68c · outbound

This paper cites Fujiwara Multiparameter pure state estimation based on the RLD METR 94-9 (1994).

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Fujiwara Multiparameter pure state estimation based on the RLD METR 94-9 (1994)

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.840415Z

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Observation 37973314-3994-47f6-bf41-772d87be86f0 · outbound

This paper cites Fujiwara Multiparameter pure state estimation based on the SLD METR 94-11 (1994).

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Fujiwara Multiparameter pure state estimation based on the SLD METR 94-11 (1994)

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:48:51.826502Z

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Observation 54caef04-604f-4a82-bb96-00aa4dd8c7f8 · outbound

This paper cites Yuen and M.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Yuen and M

Reference 46

Resolution: metadata mismatch; raw_fallback, observed 2026-08-14T13:48:51.511104Z

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Reference 47

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Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:48:51.810329Z

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Observation 1eb94a5c-027b-431b-b4aa-92e16e05cec5 · outbound

This paper cites Suzuki, J.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Suzuki, J

Reference 49

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Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:48:51.795035Z

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Observation c8b27421-2d40-4758-843c-1820874007e7 · outbound

This paper cites Fujiwara, H.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Fujiwara, H

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-14T13:48:50.894950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f834a6df-efdd-44cf-b320-4e93fbebac05 · outbound

This paper cites Matsumoto J.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Matsumoto J

Reference 52

Resolution: malformed identifier; raw_fallback, observed 2026-08-14T13:48:51.779826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 837ee63d-22c5-4ca7-89f9-c913f28de8c3 · outbound

This paper cites an unresolved cited work.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-14T13:48:50.902949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18bb8fe1-ca6a-40c0-a27f-b6ad497b3ae7 · outbound

This paper cites Suzuki, Entropy, Vol.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Suzuki, Entropy, Vol

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-14T13:48:50.906790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3cbec3c-10b4-4b31-86ae-6b1db5c2803f · outbound

This paper cites an unresolved cited work.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 55

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.178404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b1194032-a122-4c18-a972-f984a1cb5247 · outbound

This paper cites an unresolved cited work.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Unresolved cited work

Reference 56

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.163317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c0772d14-4534-4158-9e73-2b946f574e53 · outbound

This paper cites Gao and H.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Gao and H

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-14T13:48:50.921190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2ae463b-0baa-463f-874f-c711072c4d0a · outbound

This paper cites Baumgratz and A.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Baumgratz and A

Reference 58

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.135319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e4d5e1e4-38ba-49e3-a6c8-095f27b3711b · outbound

This paper cites Bradshaw, S.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Bradshaw, S

Reference 59

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.121109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e536c95d-a4a4-4c17-9a7e-b7e706b50a18 · outbound

This paper cites Bradshaw, P.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Bradshaw, P

Reference 60

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.106233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0432243c-f370-4e0e-a937-7f3e9581ae58 · outbound

This paper cites Arnhem, E.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Arnhem, E

Reference 61

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.090899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f5fa5a71-fb11-44e6-9dc0-52eaeb5146b9 · outbound

This paper cites Aharonov and J.

Uncertainty relation for the position of an electron in a uniform magnetic field from quantum estimation theory Aharonov and J

Reference 62

Resolution: verified exact; doi, observed 2026-08-14T13:48:51.076013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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